GCF for 9, 18 and 27

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 9, 18 and 27?

Answer

GCF of 9, 18 and 27 is
9

Common factors: 1, 3, 9

9 divides all three: 9 ÷ 9 = 1, 18 ÷ 9 = 2, 27 ÷ 9 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

9 = 32

18 = 2 × 32

27 = 33

Prime91827Lowest power
2—2——
332323332

— = 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
912183
913181
914181
915183
916181
917181
918189
918191
918201
918213
918221
918231
918243
918251
918261
918279
918281
918291
918303
918311
918321
918333
918341
918351
918369
918371
918381
918393
918401
918411

FAQ

What's the Greatest Common Factor (GCF) of 9, 18 and 27?

GCF of 9, 18 and 27 is 9

What prime factors do 9, 18 and 27 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 9, 18 and 27 two numbers at a time?

Yes. The GCF of 9 and 18 is 9, and the GCF of 9 and 27 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 9 : 18 : 27?

Divide every term by the GCF 9: 9 ÷ 9 = 1, 18 ÷ 9 = 2 and 27 ÷ 9 = 3. So 9 : 18 : 27 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

See Also