GCF for 30, 48 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 30, 48 and 60?

Answer

GCF of 30, 48 and 60 is
6

Common factors: 1, 2, 3, 6

6 divides all three: 30 ÷ 6 = 5, 48 ÷ 6 = 8, 60 ÷ 6 = 10 — and 5, 8 and 10 have no factor but 1 common to all of them, so no larger number divides all three.

30 = 2 × 3 × 5

48 = 24 × 3

60 = 22 × 3 × 5

Prime304860Lowest power
2224222
33333
55—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
3045483
3046482
3047481
3048486
3048491
3048502
3048513
3048522
3048531
3048546
3048551
3048562
3048573
3048582
3048591
3048606
3048611
3048622
3048633
3048642
3048651
3048666
3048671
3048682
3048693
3048702
3048711
3048726
3048731
3048742

FAQ

What's the Greatest Common Factor (GCF) of 30, 48 and 60?

GCF of 30, 48 and 60 is 6

What prime factors do 30, 48 and 60 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 30, 48 and 60 two numbers at a time?

Yes. The GCF of 30 and 48 is 6, and the GCF of 6 and 60 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 30 : 48 : 60?

Divide every term by the GCF 6: 30 ÷ 6 = 5, 48 ÷ 6 = 8 and 60 ÷ 6 = 10. So 30 : 48 : 60 in lowest terms is 5 : 8 : 10, and no whole number other than 1 divides all three of those.

See Also