GCF (HCF) of 20 and 100

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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

Prime20100Lowest power
2222222
55525

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
20422
20444
20455
20471
20484
205010
20555
20564
20582
20591
206020
207010
20755
20844
209010
2010020
201555
201655
2019010
202055
2023010
202355
2025010
203055
203855
2043010
2045010
2046020
204655
2047010

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.

See Also