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GCF (HCF) of 20 and 100

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 20 and 100?

Answer

GCF (HCF) of 20 and 100 is

20

Common factors: 1, 2, 4, 5, 10, 20

20 divides 100 (100 ÷ 20 = 5), so the GCF is the smaller number itself.

20 = 2² × 5

100 = 2² × 5²

Prime	20	100	Lowest power
2	2²	2²	2²
5	5	5²	5

GCF = 2² × 5 = 20

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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 20 and 100. The GCF of 20 and 100 is 20 — 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/20--100/generated.jpg

GCF Table

Number 1	Number 2	GCF
20	42	2
20	44	4
20	45	5
20	47	1
20	48	4
20	50	10
20	55	5
20	56	4
20	58	2
20	59	1
20	60	20
20	70	10
20	75	5
20	84	4
20	90	10
20	100	20
20	155	5
20	165	5
20	190	10
20	205	5
20	230	10
20	235	5
20	250	10
20	305	5
20	385	5
20	430	10
20	450	10
20	460	20
20	465	5
20	470	10

FAQ

What is the Greatest Common Divisor of 20 and 100?

GCF (HCF) of 20 and 100 is 20

How to find the GCF of 20 and 100?

You can find the GCF of 20 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 100 is 20.

What prime factors do 20 and 100 share?

The prime factorizations of 20 and 100 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/100?

Divide the numerator and the denominator by the GCF 20: 20 ÷ 20 = 1 and 100 ÷ 20 = 5. So 20/100 in lowest terms is 1/5.