GCF (HCF) of 10 and 20

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Greatest Common Factor of
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What is the Greatest Common Divisor of 10 and 20?

Answer

GCF (HCF) of 10 and 20 is
10

Common factors: 1, 2, 5, 10

10 divides 20 (20 ÷ 10 = 2), so the GCF is the smaller number itself.

10 = 2 × 5

20 = 22 × 5

Prime1020Lowest power
22222
5555

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
1055
1082
10111
10122
10131
10142
10155
10162
10182
102010
10211
10222
10231
10242
10255
10262
10271
10282
10291
103010
10322
10331
10342
10355
10362
10382
10391
104010
10431
10442

FAQ

What is the Greatest Common Divisor of 10 and 20?

GCF (HCF) of 10 and 20 is 10

How to find the GCF of 10 and 20?

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

What prime factors do 10 and 20 share?

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

How does the GCF reduce the fraction 10/20?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 20 ÷ 10 = 2. So 10/20 in lowest terms is 1/2.

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