GCF (HCF) of 16 and 32

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What is the Greatest Common Divisor of 16 and 32?

Answer

GCF (HCF) of 16 and 32 is
16

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

16 divides 32 (32 ÷ 16 = 2), so the GCF is the smaller number itself.

16 = 24

32 = 25

Prime1632Lowest power
2242524

GCF = 24 = 16

See Also

FAQ

What is the Greatest Common Divisor of 16 and 32?

GCF (HCF) of 16 and 32 is 16

How to find the GCF of 16 and 32?

You can find the GCF of 16 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 32 is 16.

What prime factors do 16 and 32 share?

The prime factorizations of 16 and 32 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 16/32?

Divide the numerator and the denominator by the GCF 16: 16 ÷ 16 = 1 and 32 ÷ 16 = 2. So 16/32 in lowest terms is 1/2.