GCF (HCF) of 52 and 64

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What is the Greatest Common Divisor of 52 and 64?

Answer

GCF (HCF) of 52 and 64 is
4

Common factors: 1, 2, 4

4 divides both: 52 ÷ 4 = 13, 64 ÷ 4 = 16 — and 13 and 16 share no factor but 1, so no larger number divides both.

52 = 22 × 13

64 = 26

Prime5264Lowest power
2222622
1313——

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
52491
52502
52511
525252
52531
52542
52551
52564
52571
52582
52591
52604
52611
52622
52631
52644
526513
52662
52671
52684
52691
52702
52711
52724
52731
52742
52751
52764
52771
527826

FAQ

What is the Greatest Common Divisor of 52 and 64?

GCF (HCF) of 52 and 64 is 4

How to find the GCF of 52 and 64?

You can find the GCF of 52 and 64 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 64 is 4.

What prime factors do 52 and 64 share?

The prime factorizations of 52 and 64 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/64?

Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 64 ÷ 4 = 16. So 52/64 in lowest terms is 13/16.

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