GCF (HCF) of 220 and 420

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What is the Greatest Common Divisor of 220 and 420?

Answer

GCF (HCF) of 220 and 420 is
20

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

20 divides both: 220 ÷ 20 = 11, 420 ÷ 20 = 21 — and 11 and 21 share no factor but 1, so no larger number divides both.

220 = 22 × 5 × 11

420 = 22 × 3 × 5 × 7

Prime220420Lowest power
2222222
3—3—
5555
7—7—
1111——

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

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
2204055
2204062
22040711
2204084
2204091
22041010
2204111
2204124
2204131
2204142
2204155
2204164
2204171
22041822
2204191
22042020
2204211
2204222
2204231
2204244
2204255
2204262
2204271
2204284
22042911
22043010
2204311
2204324
2204331
2204342

FAQ

What is the Greatest Common Divisor of 220 and 420?

GCF (HCF) of 220 and 420 is 20

How to find the GCF of 220 and 420?

You can find the GCF of 220 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 220 and 420 is 20.

What prime factors do 220 and 420 share?

The prime factorizations of 220 and 420 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 220/420?

Divide the numerator and the denominator by the GCF 20: 220 ÷ 20 = 11 and 420 ÷ 20 = 21. So 220/420 in lowest terms is 11/21.

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