GCF (HCF) of 6 and 40

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What is the Greatest Common Divisor of 6 and 40?

Answer

GCF (HCF) of 6 and 40 is
2

Common factors: 1, 2

2 divides both: 6 ÷ 2 = 3, 40 ÷ 2 = 20 — and 3 and 20 share no factor but 1, so no larger number divides both.

6 = 2 × 3

40 = 23 × 5

Prime640Lowest power
22232
33——
5—5—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 6 and 40?

GCF (HCF) of 6 and 40 is 2

How to find the GCF of 6 and 40?

You can find the GCF of 6 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 40 is 2.

What prime factors do 6 and 40 share?

The prime factorizations of 6 and 40 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/40?

Divide the numerator and the denominator by the GCF 2: 6 ÷ 2 = 3 and 40 ÷ 2 = 20. So 6/40 in lowest terms is 3/20.