GCF for 10, 20 and 30

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 10, 20 and 30?

Answer

GCF of 10, 20 and 30 is
10

Common factors: 1, 2, 5, 10

10 divides all three: 10 ÷ 10 = 1, 20 ÷ 10 = 2, 30 ÷ 10 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

10 = 2 × 5

20 = 22 × 5

30 = 2 × 3 × 5

Prime102030Lowest power
222222
3——3—
55555

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

GCF = 2 × 5 = 10

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GCF Table

1st2nd3rdGCF
1015205
1016202
1017201
1018202
1019201
10202010
1020211
1020222
1020231
1020242
1020255
1020262
1020271
1020282
1020291
10203010
1020311
1020322
1020331
1020342
1020355
1020362
1020371
1020382
1020391
10204010
1020411
1020422
1020431
1020442

FAQ

What's the Greatest Common Factor (GCF) of 10, 20 and 30?

GCF of 10, 20 and 30 is 10

What prime factors do 10, 20 and 30 share?

All three factorizations contain 2 × 5, and multiplying those shared primes gives 10 — exactly the greatest common factor.

Can you get the GCF of 10, 20 and 30 two numbers at a time?

Yes. The GCF of 10 and 20 is 10, and the GCF of 10 and 30 is 10 — 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 : 20 : 30?

Divide every term by the GCF 10: 10 ÷ 10 = 1, 20 ÷ 10 = 2 and 30 ÷ 10 = 3. So 10 : 20 : 30 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

See Also