Examples on highest common factor (H.C.F) are solved here step by step.

Let’s follow 10 examples on highest common factor (H.C.F).

**1. Find the highest common factor (H.C.F) of 15 (Fifteen) and 35 (Thirty five). ****Solution:**

Factors of 15 (Fifteen) = 1, 3, 5 and 15.

Factors of 35 (Thirty five) = 1, 5, 7 and 35.

Therefore, common factor of 15 (Fifteen) and 35 (Thirty five) = 1 and 5.

Highest common factor (H.C.F) of 15 (Fifteen) and 35 (Thirty five) = 5.

**2. Find the highest common factor (H.C.F) of 21 (Twenty one) and 35 (Thirty five). ****Solution:**

Factors of 21 (Twenty one) = 1, 3, 7and 21.

Factors of 35 (Thirty five) = 1, 5, 7 and 35.

Therefore, common factor of 21 (Twenty one) and 35 (Thirty five) = 1 and 7.

Highest common factor (H.C.F) of 21 (Twenty one) and 35 (Thirty five) = 7.

**3. Find the highest common factor (H.C.F) of 30 (Thirty) and 24 (Twenty four). ****Solution:**

Factors of 30 (Thirty) = 1, 2, 3, 5, 6, 10, 15 and 30.

Factors of 24 (Twenty four) = 1, 2, 3, 4, 6, 8, 12 and 24.

Therefore, common factor of 30 (Thirty) and 24 (Twenty four = 1, 2, 3, and 6.

Highest common factor (H.C.F) of 30 (Thirty) and 24 (Twenty four = 6.

**4. Find the highest common factor (H.C.F) of 33 (Thirty three) and 55 (Fifty five). ****Solution:**

Factors of 33 (Thirty three) = 1, 3, 11 and 33.

Factors of 55 (Fifty five) = 1, 5, 11 and 55.

Therefore, common factor of 33 (Thirty three) and 55 (Fifty five) = 1 and 11.

Highest common factor (H.C.F) of 33 (Thirty three) and 55 (Fifty five) = 11.

**5. Find the highest common factor (H.C.F) of 50 (Fifty) and 70 (Seventy). ****Solution:**

Factors of 50 (Fifty) = 1, 2, 5, 10, 25 and 50.

Factors of 70 (Seventy) = 1, 2, 5, 14, 7, 10, 35 and 70.

Therefore, common factor of 50 (Fifty) and 70 (Seventy) = 1, 2, 5, 10.

Highest common factor (H.C.F) of 50 (Fifty) and 70 (Seventy) = 10.

**6. Find the highest common factor (H.C.F) of 12 (Twelve), 18 (Eighteen) and 24 (Twenty four). ****Solution:**

Factors of 12 (Twelve), = 1, 2, 3, 4, 6 and 12.

Factors of 18 (Eighteen) = 1, 2, 3, 6, 9 and 18.

Factors of 24 (Twenty four) = 1, 2, 3, 4, 6, 8, 12 and 24.

Therefore, common factor of 12 (Twelve), 18 (Eighteen) and 24 (Twenty four) = 1, 2, 3 and 6.

Highest common factor (H.C.F) of 12 (Twelve), 18 (Eighteen) and 24 (Twenty four) = 6.

**7. Find the highest common factor (H.C.F) of 22 (Twenty two), 33(Thirty three) and 55(Fifty five). **

**Solution:**

Factors of 22 (Twenty two) = 1, 2, 11 and 22.

Factors of 33(Thirty three) = 1, 3, 11 and 33.

Factors of 55(Fifty five) = 1, 5, 11 and 55.

Therefore, common factor of 22 (Twenty two), 33(Thirty three) and 55(Fifty five) = 1 and 11.

Highest common factor (H.C.F) of 22 (Twenty two), 33(Thirty three) and 55(Fifty five) = 11.

**8. Find the highest common factor (H.C.F) of 75 (Seventy five) and 125 (One hundred twenty five). **

**Solution:**

Factors of 75 (Seventy five) = 1, 3, 5, 15, 25 and 75.

Factors of 125 (One hundred twenty five) = 1, 5, 25, and 125.

Therefore, common factor of 75 (Seventy five) and 125 (One hundred twenty five) = 1, 5 and 25.

Highest common factor (H.C.F) of 75 (Seventy five) and 125 (One hundred twenty five) = 25.

**9. Find the highest common factor (H.C.F) of 100 and 150. **

**Solution:**

Factors of 100 = 1, 2, 5, 10, 20, 50 and 100.

Factors of 150 (one hundred fifty) =1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.

Therefore, common factor of 100 and 150 = 1, 2, 3, 5, 10 and 50.

Highest common factor (H.C.F) of 900 and 270 = 50.

**10. Find the highest common factor (H.C.F) of 900 (Nine hundred) and 270 (Two hundred seventy). **

**Solution:**

Factors of 900 (Nine hundred) = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450 and 900.

Factors of 270 (Two hundred seventy) =1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135 and 270.

Therefore, common factor of 900 (Nine hundred) and 270 (Two hundred seventy) = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.

Highest common factor (H.C.F) of 900 (Nine hundred) and 270 (Two hundred seventy) = 90.

**● Factors.**

**● Highest Common Factor (H.C.F).**

**● Examples on Highest Common Factor (H.C.F).**

**● Greatest Common Factor (G.C.F).**

**● Examples of Greatest Common Factor (G.C.F).**

**● To find Highest Common Factor by using Prime Factorization Method.**

**● Examples to find Highest Common Factor by using Prime Factorization Method.**

**● To find Highest Common Factor by using Division Method.**

**● Examples to find Highest Common Factor of two numbers by using Division Method.**

**● To find the Highest Common Factor of three numbers by using Division Method.**

**5th Grade Numbers Page**** ****5th Grade Math Problems**** ****From Examples on Highest Common Factor to HOME PAGE**

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