GCF for 35, 56 and 63

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What's the Greatest Common Factor (GCF) of 35, 56 and 63?

Answer

GCF of 35, 56 and 63 is
7

Common factors: 1, 7

7 divides all three: 35 ÷ 7 = 5, 56 ÷ 7 = 8, 63 ÷ 7 = 9 — and 5, 8 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

35 = 5 × 7

56 = 23 × 7

63 = 32 × 7

Prime355663Lowest power
2—23——
3——32—
55———
77777

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

GCF = 7

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GCF Table

1st2nd3rdGCF
3548561
3549567
3550561
3551561
3552561
3553561
3554561
3555561
3556567
3556571
3556581
3556591
3556601
3556611
3556621
3556637
3556641
3556651
3556661
3556671
3556681
3556691
3556707
3556711
3556721
3556731
3556741
3556751
3556761
3556777

FAQ

What's the Greatest Common Factor (GCF) of 35, 56 and 63?

GCF of 35, 56 and 63 is 7

What prime factors do 35, 56 and 63 share?

All three factorizations contain 7, and multiplying those shared primes gives 7 — exactly the greatest common factor.

Can you get the GCF of 35, 56 and 63 two numbers at a time?

Yes. The GCF of 35 and 56 is 7, and the GCF of 7 and 63 is 7 — 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 35 : 56 : 63?

Divide every term by the GCF 7: 35 ÷ 7 = 5, 56 ÷ 7 = 8 and 63 ÷ 7 = 9. So 35 : 56 : 63 in lowest terms is 5 : 8 : 9, and no whole number other than 1 divides all three of those.

See Also