GCF (HCF) of 64 and 96

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 64 and 96?

Answer

GCF (HCF) of 64 and 96 is
32

Common factors: 1, 2, 4, 8, 16, 32

32 divides both: 64 ÷ 32 = 2, 96 ÷ 32 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

64 = 26

96 = 25 × 3

Prime6496Lowest power
2262525
3—3—

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

GCF = 25 = 32

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
64811
64822
64831
64844
64851
64862
64871
64888
64891
64902
64911
64924
64931
64942
64951
649632
64971
64982
64991
641004
641011
641022
641031
641048
641051
641062
641071
641084
641091
641102

FAQ

What is the Greatest Common Divisor of 64 and 96?

GCF (HCF) of 64 and 96 is 32

How to find the GCF of 64 and 96?

You can find the GCF of 64 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 96 is 32.

What prime factors do 64 and 96 share?

The prime factorizations of 64 and 96 have 2 × 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 32 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/96?

Divide the numerator and the denominator by the GCF 32: 64 ÷ 32 = 2 and 96 ÷ 32 = 3. So 64/96 in lowest terms is 2/3.

See Also