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GCF (HCF) of 16 and 80

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 16 and 80?

Answer

GCF (HCF) of 16 and 80 is

16

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

16 divides 80 (80 ÷ 16 = 5), so the GCF is the smaller number itself.

16 = 2⁴

80 = 2⁴ × 5

Prime	16	80	Lowest power
2	2⁴	2⁴	2⁴
5	—	5	—

— = 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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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 80. The GCF of 16 and 80 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--80/generated.jpg

GCF Table

Number 1	Number 2	GCF
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
16	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16

FAQ

What is the Greatest Common Divisor of 16 and 80?

GCF (HCF) of 16 and 80 is 16

How to find the GCF of 16 and 80?

You can find the GCF of 16 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 80 is 16.

What prime factors do 16 and 80 share?

The prime factorizations of 16 and 80 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 16/80?

Divide the numerator and the denominator by the GCF 16: 16 ÷ 16 = 1 and 80 ÷ 16 = 5. So 16/80 in lowest terms is 1/5.