GCF (HCF) of 20 and 470

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What is the Greatest Common Divisor of 20 and 470?

Answer

GCF (HCF) of 20 and 470 is
10

Common factors: 1, 2, 5, 10

10 divides both: 20 ÷ 10 = 2, 470 ÷ 10 = 47 — and 2 and 47 share no factor but 1, so no larger number divides both.

20 = 22 × 5

470 = 2 × 5 × 47

Prime20470Lowest power
22222
5555
47—47—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
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
2048020
2049010

FAQ

What is the Greatest Common Divisor of 20 and 470?

GCF (HCF) of 20 and 470 is 10

How to find the GCF of 20 and 470?

You can find the GCF of 20 and 470 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 470 is 10.

What prime factors do 20 and 470 share?

The prime factorizations of 20 and 470 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/470?

Divide the numerator and the denominator by the GCF 10: 20 ÷ 10 = 2 and 470 ÷ 10 = 47. So 20/470 in lowest terms is 2/47.

See Also