GCF for 18, 24 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 18, 24 and 30?

Answer

GCF of 18, 24 and 30 is
6

Common factors: 1, 2, 3, 6

6 divides all three: 18 ÷ 6 = 3, 24 ÷ 6 = 4, 30 ÷ 6 = 5 — and 3, 4 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

18 = 2 × 32

24 = 23 × 3

30 = 2 × 3 × 5

Prime182430Lowest power
222322
332333
5——5—

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

GCF = 2 × 3 = 6

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GCF Table

1st2nd3rdGCF
1518243
1618242
1718241
1818246
1819241
1820242
1821243
1822242
1823241
1824246
1824251
1824262
1824273
1824282
1824291
1824306
1824311
1824322
1824333
1824342
1824351
1824366
1824371
1824382
1824393
1824402
1824411
1824426
1824431
1824442

FAQ

What's the Greatest Common Factor (GCF) of 18, 24 and 30?

GCF of 18, 24 and 30 is 6

What prime factors do 18, 24 and 30 share?

All three factorizations contain 2 × 3, and multiplying those shared primes gives 6 — exactly the greatest common factor.

Can you get the GCF of 18, 24 and 30 two numbers at a time?

Yes. The GCF of 18 and 24 is 6, and the GCF of 6 and 30 is 6 — 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 18 : 24 : 30?

Divide every term by the GCF 6: 18 ÷ 6 = 3, 24 ÷ 6 = 4 and 30 ÷ 6 = 5. So 18 : 24 : 30 in lowest terms is 3 : 4 : 5, and no whole number other than 1 divides all three of those.

See Also