GCF (HCF) of 20 and 450

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What is the Greatest Common Divisor of 20 and 450?

Answer

GCF (HCF) of 20 and 450 is
10

Common factors: 1, 2, 5, 10

10 divides both: 20 ÷ 10 = 2, 450 ÷ 10 = 45 — and 2 and 45 share no factor but 1, so no larger number divides both.

20 = 22 × 5

450 = 2 × 32 × 52

Prime20450Lowest power
22222
3—32—
55525

— = 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
20444
20455
20471
20484
205010
20555
20564
20582
20591
206020
207010
20755
20844
209010
2010020
201555
201655
2019010
202055
2023010
202355
2025010
203055
2043010
2045010
2046020
204655
2047010
2048020
2049010

FAQ

What is the Greatest Common Divisor of 20 and 450?

GCF (HCF) of 20 and 450 is 10

How to find the GCF of 20 and 450?

You can find the GCF of 20 and 450 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 450 is 10.

What prime factors do 20 and 450 share?

The prime factorizations of 20 and 450 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/450?

Divide the numerator and the denominator by the GCF 10: 20 ÷ 10 = 2 and 450 ÷ 10 = 45. So 20/450 in lowest terms is 2/45.

See Also