GCF (HCF) of 64 and 32

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What is the Greatest Common Divisor of 64 and 32?

Answer

GCF (HCF) of 64 and 32 is
32

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

32 divides 64 (64 ÷ 32 = 2), so the GCF is the smaller number itself.

64 = 26

32 = 25

Prime6432Lowest power
2262525

GCF = 25 = 32

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GCF Table

Number 1Number 2GCF
64171
64182
64191
64204
64211
64222
64231
64248
64251
64262
64271
64284
64291
64302
64311
643232
64331
64342
64351
64364
64371
64382
64391
64408
64411
64422
64431
64444
64451
64462

FAQ

What is the Greatest Common Divisor of 64 and 32?

GCF (HCF) of 64 and 32 is 32

How to find the GCF of 64 and 32?

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

What prime factors do 64 and 32 share?

The prime factorizations of 64 and 32 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 64/32?

Divide the numerator and the denominator by the GCF 32: 64 ÷ 32 = 2 and 32 ÷ 32 = 1. So 64/32 in lowest terms is 2/1.

See Also