GCF for 6, 10 and 15

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 6, 10 and 15?

Answer

GCF of 6, 10 and 15 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 6, 10 and 15.

Pairs do share factors — GCF(6, 10) = 2, GCF(6, 15) = 3, GCF(10, 15) = 5 — just none greater than 1 common to all three.

6 = 2 × 3

10 = 2 × 5

15 = 3 × 5

Prime61015Lowest power
222——
33—3—
5—55—

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

GCF = 1

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GCF Table

1st2nd3rdGCF
16101
26102
36101
46102
56101
66102
67101
68102
69101
610102
610111
610122
610131
610142
610151
610162
610171
610182
610191
610202
610211
610222
610231
610242
610251
610262
610271
610282
610291
610302

FAQ

What's the Greatest Common Factor (GCF) of 6, 10 and 15?

GCF of 6, 10 and 15 is 1

What prime factors do 6, 10 and 15 share?

None at all: 6, 10 and 15 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.

Can you get the GCF of 6, 10 and 15 two numbers at a time?

Yes. The GCF of 6 and 10 is 2, and the GCF of 2 and 15 is 1 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 6 : 10 : 15?

Divide every term by the GCF 1: 6 ÷ 1 = 6, 10 ÷ 1 = 10 and 15 ÷ 1 = 15. So 6 : 10 : 15 in lowest terms is 6 : 10 : 15, and no whole number other than 1 divides all three of those.

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