GCF (HCF) of 32 and 96

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What is the Greatest Common Divisor of 32 and 96?

Answer

GCF (HCF) of 32 and 96 is
32

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

32 divides 96 (96 ÷ 32 = 3), so the GCF is the smaller number itself.

32 = 25

96 = 25 × 3

Prime3296Lowest power
2252525
3—3—

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

GCF = 25 = 32

See Also

FAQ

What is the Greatest Common Divisor of 32 and 96?

GCF (HCF) of 32 and 96 is 32

How to find the GCF of 32 and 96?

You can find the GCF of 32 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 96 is 32.

What prime factors do 32 and 96 share?

The prime factorizations of 32 and 96 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 32/96?

Divide the numerator and the denominator by the GCF 32: 32 ÷ 32 = 1 and 96 ÷ 32 = 3. So 32/96 in lowest terms is 1/3.