GCF (HCF) of 10 and 15

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Greatest Common Factor of
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What is the Greatest Common Divisor of 10 and 15?

Answer

GCF (HCF) of 10 and 15 is
5

Common factors: 1, 5

5 divides both: 10 ÷ 5 = 2, 15 ÷ 5 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

10 = 2 × 5

15 = 3 × 5

Prime1015Lowest power
22——
3—3—
5555

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

GCF = 5

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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
10371
10382
10391
104010
10431

FAQ

What is the Greatest Common Divisor of 10 and 15?

GCF (HCF) of 10 and 15 is 5

How to find the GCF of 10 and 15?

You can find the GCF of 10 and 15 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 15 is 5.

What prime factors do 10 and 15 share?

The prime factorizations of 10 and 15 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/15?

Divide the numerator and the denominator by the GCF 5: 10 ÷ 5 = 2 and 15 ÷ 5 = 3. So 10/15 in lowest terms is 2/3.

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