Common factors of two or more numbers are a number which divides each of the given numbers exactly.

**For examples****1. Find the common factor of 6 and 8.**

Factor of 6 = 1, 2, 3 and 6.

Factor of 8 = 1, 2, 4 and 8.

Therefore, common factors of 6 and 8 = 1 and 2.

[*It can easily be shown that each common factor (1 and 2) divides the given numbers 6 and 8 exactly*].

**2. Find the common factor of 8 and 12.**

Factor of 8 = 1, 2, 4 and 8.

Factor of 12 = 1, 2, 3, 4, 6 and 12.

Therefore, common factors of 8 and 12 = 1, 2 and 4.

**3. Find the common factor of 10 and 15.**

Factor of 10 = 1, 2, 5 and 10.

Factor of 15 = 1, 3, 5 and 15.

Therefore, common factors of 10 and 15 = 1 and 5.

**4. Find the common factor of 14 and 21.**

Factor of 14 = 1, 2, 7 and 14.

Factor of 21 = 1, 3, 7 and 21.

Therefore, common factors of 14 and 21 = 1 and 7.

**● 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 Common Factors to HOME PAGE**

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