GCF for 18, 32 and 48

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 18, 32 and 48?

Answer

GCF of 18, 32 and 48 is
2

Common factors: 1, 2

2 divides all three: 18 ÷ 2 = 9, 32 ÷ 2 = 16, 48 ÷ 2 = 24 — and 9, 16 and 24 have no factor but 1 common to all of them, so no larger number divides all three.

18 = 2 × 32

32 = 25

48 = 24 × 3

Prime183248Lowest power
2225242
332—3—

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

GCF = 2

See Also

GCF Table

1st2nd3rdGCF
1832331
1832342
1832351
1832362
1832371
1832382
1832391
1832402
1832411
1832422
1832431
1832442
1832451
1832462
1832471
1832482
1832491
1832502
1832511
1832522
1832531
1832542
1832551
1832562
1832571
1832582
1832591
1832602
1832611
1832622

FAQ

What's the Greatest Common Factor (GCF) of 18, 32 and 48?

GCF of 18, 32 and 48 is 2

What prime factors do 18, 32 and 48 share?

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

Can you get the GCF of 18, 32 and 48 two numbers at a time?

Yes. The GCF of 18 and 32 is 2, and the GCF of 2 and 48 is 2 — 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 18 : 32 : 48?

Divide every term by the GCF 2: 18 ÷ 2 = 9, 32 ÷ 2 = 16 and 48 ÷ 2 = 24. So 18 : 32 : 48 in lowest terms is 9 : 16 : 24, and no whole number other than 1 divides all three of those.