GCF (HCF) of 32 and 128

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What is the Greatest Common Divisor of 32 and 128?

Answer

GCF (HCF) of 32 and 128 is
32

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

32 divides 128 (128 ÷ 32 = 4), so the GCF is the smaller number itself.

32 = 25

128 = 27

Prime32128Lowest power
2252725

GCF = 25 = 32

See Also

FAQ

What is the Greatest Common Divisor of 32 and 128?

GCF (HCF) of 32 and 128 is 32

How to find the GCF of 32 and 128?

You can find the GCF of 32 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 128 is 32.

What prime factors do 32 and 128 share?

The prime factorizations of 32 and 128 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 32/128?

Divide the numerator and the denominator by the GCF 32: 32 ÷ 32 = 1 and 128 ÷ 32 = 4. So 32/128 in lowest terms is 1/4.