GCF for 16, 24 and 40

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 16, 24 and 40?

Answer

GCF of 16, 24 and 40 is
8

Common factors: 1, 2, 4, 8

8 divides all three: 16 ÷ 8 = 2, 24 ÷ 8 = 3, 40 ÷ 8 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

16 = 24

24 = 23 × 3

40 = 23 × 5

Prime162440Lowest power
224232323
3—3——
5——5—

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

GCF = 23 = 8

See Also

GCF Table

1st2nd3rdGCF
1624251
1624262
1624271
1624284
1624291
1624302
1624311
1624328
1624331
1624342
1624351
1624364
1624371
1624382
1624391
1624408
1624411
1624422
1624431
1624444
1624451
1624462
1624471
1624488
1624491
1624502
1624511
1624524
1624531
1624542

FAQ

What's the Greatest Common Factor (GCF) of 16, 24 and 40?

GCF of 16, 24 and 40 is 8

What prime factors do 16, 24 and 40 share?

All three factorizations contain 2 × 2 × 2, and multiplying those shared primes gives 8 — exactly the greatest common factor.

Can you get the GCF of 16, 24 and 40 two numbers at a time?

Yes. The GCF of 16 and 24 is 8, and the GCF of 8 and 40 is 8 — 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 16 : 24 : 40?

Divide every term by the GCF 8: 16 ÷ 8 = 2, 24 ÷ 8 = 3 and 40 ÷ 8 = 5. So 16 : 24 : 40 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.