What is the GCF of 6 and 40?

Answer 1

Factors of 6 are 1, 2, 3 and 6.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.

Common factors are 1 and 2. Therefore, the greatest common factors(gcf) is 2.

Alternate method:

The method used above is not useful for finding GCF of larger numbers.

However, the method of prime factorization is very useful and simple for finding GCF.

Prime factorization of 6 = 2x3

Prime factorization of 40 = 2x2x2x5

It is clear from the factorization of both numbers that 2 is the GCF.

Answer 2

The GCF of 40, 36 and 16 is 4. A trick here is noticing that 4 is the gap between 40 and 36, so that would be the max. GCF. This divides nicely into each, giving 10, 9 and 4 respectively.

Answer 3

The GCF is 4.

Answer 4

The GCF is 6.

Answer 5

The GCF is 4.

Answer 6

GCF of 40 and 36 is 4.

Answer 7

4 is.