GCF for 18, 24 and 36

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 18, 24 and 36?

Answer

GCF of 18, 24 and 36 is
6

Common factors: 1, 2, 3, 6

6 divides all three: 18 ÷ 6 = 3, 24 ÷ 6 = 4, 36 ÷ 6 = 6 — and 3, 4 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

18 = 2 × 32

24 = 23 × 3

36 = 22 × 32

Prime182436Lowest power
2223222
3323323

GCF = 2 × 3 = 6

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GCF Table

1st2nd3rdGCF
1821243
1822242
1823241
1824246
1824251
1824262
1824273
1824282
1824291
1824306
1824311
1824322
1824333
1824342
1824351
1824366
1824371
1824382
1824393
1824402
1824411
1824426
1824431
1824442
1824453
1824462
1824471
1824486
1824491
1824502

FAQ

What's the Greatest Common Factor (GCF) of 18, 24 and 36?

GCF of 18, 24 and 36 is 6

What prime factors do 18, 24 and 36 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 36 two numbers at a time?

Yes. The GCF of 18 and 24 is 6, and the GCF of 6 and 36 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 : 36?

Divide every term by the GCF 6: 18 ÷ 6 = 3, 24 ÷ 6 = 4 and 36 ÷ 6 = 6. So 18 : 24 : 36 in lowest terms is 3 : 4 : 6, and no whole number other than 1 divides all three of those.

See Also