GCF for 24, 36 and 60

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 24, 36 and 60?

Answer

GCF of 24, 36 and 60 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides all three: 24 ÷ 12 = 2, 36 ÷ 12 = 3, 60 ÷ 12 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

24 = 23 × 3

36 = 22 × 32

60 = 22 × 3 × 5

Prime243660Lowest power
223222222
333233
5——5—

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

GCF = 22 × 3 = 12

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GCF Table

1st2nd3rdGCF
2436453
2436462
2436471
24364812
2436491
2436502
2436513
2436524
2436531
2436546
2436551
2436564
2436573
2436582
2436591
24366012
2436611
2436622
2436633
2436644
2436651
2436666
2436671
2436684
2436693
2436702
2436711
24367212
2436731
2436742

FAQ

What's the Greatest Common Factor (GCF) of 24, 36 and 60?

GCF of 24, 36 and 60 is 12

What prime factors do 24, 36 and 60 share?

All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

Can you get the GCF of 24, 36 and 60 two numbers at a time?

Yes. The GCF of 24 and 36 is 12, and the GCF of 12 and 60 is 12 — 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 24 : 36 : 60?

Divide every term by the GCF 12: 24 ÷ 12 = 2, 36 ÷ 12 = 3 and 60 ÷ 12 = 5. So 24 : 36 : 60 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.

See Also