GCF for 10, 12 and 16

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 10, 12 and 16?

Answer

GCF of 10, 12 and 16 is
2

Common factors: 1, 2

2 divides all three: 10 ÷ 2 = 5, 12 ÷ 2 = 6, 16 ÷ 2 = 8 — and 5, 6 and 8 have no factor but 1 common to all of them, so no larger number divides all three.

10 = 2 × 5

12 = 22 × 3

16 = 24

Prime101216Lowest power
2222242
3—3——
55———

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

GCF = 2

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GCF Table

1st2nd3rdGCF
110121
210122
310121
410122
510121
610122
710121
810122
910121
1010122
1011121
1012122
1012131
1012142
1012151
1012162
1012171
1012182
1012191
1012202
1012211
1012222
1012231
1012242
1012251
1012262
1012271
1012282
1012291
1012302

FAQ

What's the Greatest Common Factor (GCF) of 10, 12 and 16?

GCF of 10, 12 and 16 is 2

What prime factors do 10, 12 and 16 share?

All three factorizations contain 2, and multiplying those shared primes gives 2 — exactly the greatest common factor.

Can you get the GCF of 10, 12 and 16 two numbers at a time?

Yes. The GCF of 10 and 12 is 2, and the GCF of 2 and 16 is 2 — 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 10 : 12 : 16?

Divide every term by the GCF 2: 10 ÷ 2 = 5, 12 ÷ 2 = 6 and 16 ÷ 2 = 8. So 10 : 12 : 16 in lowest terms is 5 : 6 : 8, and no whole number other than 1 divides all three of those.

See Also