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GCF (HCF) of 16 and 32

"Greatest Common Factor" Calculator

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

Prime	16	32	Lowest power
2	2⁴	2⁵	2⁴

GCF = 2⁴ = 16

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 16 and 32. The GCF of 16 and 32 is 16 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/16--32/generated.jpg

GCF Table

Number 1	Number 2	GCF
16	12	4
16	18	2
16	19	1
16	20	4
16	21	1
16	22	2
16	23	1
16	24	8
16	25	1
16	26	2
16	27	1
16	28	4
16	30	2
16	32	16
16	33	1
16	34	2
16	35	1
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1

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.