GCF (HCF) of 64 and 80

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What is the Greatest Common Divisor of 64 and 80?

Answer

GCF (HCF) of 64 and 80 is
16

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

16 divides both: 64 ÷ 16 = 4, 80 ÷ 16 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

64 = 26

80 = 24 × 5

Prime6480Lowest power
2262424
5—5—

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

GCF = 24 = 16

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GCF Table

Number 1Number 2GCF
64651
64662
64671
64684
64691
64702
64711
64728
64731
64742
64751
64764
64771
64782
64791
648016
64811
64822
64831
64844
64851
64862
64871
64888
64891
64902
64911
64924
64931
64942

FAQ

What is the Greatest Common Divisor of 64 and 80?

GCF (HCF) of 64 and 80 is 16

How to find the GCF of 64 and 80?

You can find the GCF of 64 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 80 is 16.

What prime factors do 64 and 80 share?

The prime factorizations of 64 and 80 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/80?

Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 80 ÷ 16 = 5. So 64/80 in lowest terms is 4/5.

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