GCF (HCF) of 64 and 72

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What is the Greatest Common Divisor of 64 and 72?

Answer

GCF (HCF) of 64 and 72 is
8

Common factors: 1, 2, 4, 8

8 divides both: 64 ÷ 8 = 8, 72 ÷ 8 = 9 — and 8 and 9 share no factor but 1, so no larger number divides both.

64 = 26

72 = 23 × 32

Prime6472Lowest power
2262323
3—32—

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

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
64571
64582
64591
64604
64611
64622
64631
646464
64651
64662
64671
64684
64691
64702
64711
64728
64731
64742
64751
64764
64771
64782
64791
648016
64811
64822
64831
64844
64851
64862

FAQ

What is the Greatest Common Divisor of 64 and 72?

GCF (HCF) of 64 and 72 is 8

How to find the GCF of 64 and 72?

You can find the GCF of 64 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 72 is 8.

What prime factors do 64 and 72 share?

The prime factorizations of 64 and 72 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/72?

Divide the numerator and the denominator by the GCF 8: 64 ÷ 8 = 8 and 72 ÷ 8 = 9. So 64/72 in lowest terms is 8/9.

See Also