GCF for 48, 64 and 96

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 48, 64 and 96?

Answer

GCF of 48, 64 and 96 is
16

Common factors: 1, 2, 4, 8, 16

16 divides all three: 48 ÷ 16 = 3, 64 ÷ 16 = 4, 96 ÷ 16 = 6 — and 3, 4 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

48 = 24 × 3

64 = 26

96 = 25 × 3

Prime486496Lowest power
224262524
33—3—

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

GCF = 24 = 16

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GCF Table

1st2nd3rdGCF
4864811
4864822
4864831
4864844
4864851
4864862
4864871
4864888
4864891
4864902
4864911
4864924
4864931
4864942
4864951
48649616
4864971
4864982
4864991
48641004
48641011
48641022
48641031
48641048
48641051
48641062
48641071
48641084
48641091
48641102

FAQ

What's the Greatest Common Factor (GCF) of 48, 64 and 96?

GCF of 48, 64 and 96 is 16

What prime factors do 48, 64 and 96 share?

All three factorizations contain 2 × 2 × 2 × 2, and multiplying those shared primes gives 16 — exactly the greatest common factor.

Can you get the GCF of 48, 64 and 96 two numbers at a time?

Yes. The GCF of 48 and 64 is 16, and the GCF of 16 and 96 is 16 — 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 48 : 64 : 96?

Divide every term by the GCF 16: 48 ÷ 16 = 3, 64 ÷ 16 = 4 and 96 ÷ 16 = 6. So 48 : 64 : 96 in lowest terms is 3 : 4 : 6, and no whole number other than 1 divides all three of those.

See Also