Greatest common factor is the greatest number which is a common factor of two or more number.

*There is no difference between highest common factor (H.C.F) or greatest common divisor (G.C.D) or greatest common factor (G.C.F).*

**1. Find the greatest common divisor (G.C.D) of 70, 210 and 315?***Solution:*

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

Factors of 210 =1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

Factors of 315 =1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315. Therefore, common factor of 70, 210 and 315 = 1,5, 7 and 35.

Greatest common divisor (G.C.D) of 70, 210 and 315= 35.

**2. Find the greatest common divisor (G.C.D) of 60, 90 and 150?**

*Solution:*

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.

Factors of 150 = 1,2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.

Therefore, common factor of 60, 90 and 150 = 1, 2, 3,5, 6,10, 15 and 30.

Greatest common divisor (G.C.D) of 60, 90 and 150 = 30.

**3. What is the highest common factor (H.C.F) of 56 and 91?**

*Solution:*

Factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 91 = 1, 7, 13, and 91.

Therefore, common factor of 56 and 91 = 1and 7.

Highest common factor (H.C.F) of 56 and 91 = 7.

**4. What is the greatest common factor (G.C.F) of 24 and 66?**

*Solution:*

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

Factors of 66 =1, 2, 3, 6, 11, 22, 33 and 66.

Therefore, common factor of 24 and 66 = 1, 2, 3 and 6.

Greatest common factor (G.C.F) of 24 and 66 = 6.

**5.What is the highest common factor (H.C.F) of 51 and 111?**

*Solution:*

Factors of 51 = 1, 3, 17 and 51.

Factors of 111 =1, 3, 37, and 111.

Therefore, common factor of 51 and 111 = 1and 3.

Highest common factor (H.C.F) of 51 and 111 = 3.

**6.What is the greatest common factor (G.C.F) of 11 and17?**

*Solution:*

Factors of 11 = 1 and 11.

Factors of 17 =1 and 17.

Therefore, common factor of 11 and 17 = 1.

Greatest common factor (G.C.F)of11 and 17 = 1.

**● 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**** ****From Greatest Common Factor to HOME PAGE**

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