GCF (HCF) of 64 and 48

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What is the Greatest Common Divisor of 64 and 48?

Answer

GCF (HCF) of 64 and 48 is
16

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

16 divides both: 64 ÷ 16 = 4, 48 ÷ 16 = 3 — and 4 and 3 share no factor but 1, so no larger number divides both.

64 = 26

48 = 24 × 3

Prime6448Lowest power
2262424
3—3—

— = 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
64331
64342
64351
64364
64371
64382
64391
64408
64411
64422
64431
64444
64451
64462
64471
644816
64491
64502
64511
64524
64531
64542
64551
64568
64571
64582
64591
64604
64611
64622

FAQ

What is the Greatest Common Divisor of 64 and 48?

GCF (HCF) of 64 and 48 is 16

How to find the GCF of 64 and 48?

You can find the GCF of 64 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 48 is 16.

What prime factors do 64 and 48 share?

The prime factorizations of 64 and 48 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 64/48?

Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 48 ÷ 16 = 3. So 64/48 in lowest terms is 4/3.

See Also