GCF for 27, 45 and 63

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What's the Greatest Common Factor (GCF) of 27, 45 and 63?

Answer

GCF of 27, 45 and 63 is
9

Common factors: 1, 3, 9

9 divides all three: 27 ÷ 9 = 3, 45 ÷ 9 = 5, 63 ÷ 9 = 7 — and 3, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.

27 = 33

45 = 32 × 5

63 = 32 × 7

Prime274563Lowest power
333323232
5—5——
7——7—

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

GCF = 32 = 9

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GCF Table

1st2nd3rdGCF
2745483
2745491
2745501
2745513
2745521
2745531
2745549
2745551
2745561
2745573
2745581
2745591
2745603
2745611
2745621
2745639
2745641
2745651
2745663
2745671
2745681
2745693
2745701
2745711
2745729
2745731
2745741
2745753
2745761
2745771

FAQ

What's the Greatest Common Factor (GCF) of 27, 45 and 63?

GCF of 27, 45 and 63 is 9

What prime factors do 27, 45 and 63 share?

All three factorizations contain 3 × 3, and multiplying those shared primes gives 9 — exactly the greatest common factor.

Can you get the GCF of 27, 45 and 63 two numbers at a time?

Yes. The GCF of 27 and 45 is 9, and the GCF of 9 and 63 is 9 — 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 27 : 45 : 63?

Divide every term by the GCF 9: 27 ÷ 9 = 3, 45 ÷ 9 = 5 and 63 ÷ 9 = 7. So 27 : 45 : 63 in lowest terms is 3 : 5 : 7, and no whole number other than 1 divides all three of those.

See Also