GCF (HCF) of 12 and 9

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What is the Greatest Common Divisor of 12 and 9?

Answer

GCF (HCF) of 12 and 9 is
3

Common factors: 1, 3

3 divides both: 12 ÷ 3 = 4, 9 ÷ 3 = 3 — and 4 and 3 share no factor but 1, so no larger number divides both.

12 = 22 × 3

9 = 32

Prime129Lowest power
222——
33323

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

GCF = 3

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GCF Table

Number 1Number 2GCF
1244
1266
1271
1284
1293
12102
12131
12142
12153
12164
12171
12186
12191
12204
12213
12222
122412
12251
12262
12273
12284
12306
12324
12333
12342
12351
123612
12393
12404
12411

FAQ

What is the Greatest Common Divisor of 12 and 9?

GCF (HCF) of 12 and 9 is 3

How to find the GCF of 12 and 9?

You can find the GCF of 12 and 9 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 9 is 3.

What prime factors do 12 and 9 share?

The prime factorizations of 12 and 9 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/9?

Divide the numerator and the denominator by the GCF 3: 12 ÷ 3 = 4 and 9 ÷ 3 = 3. So 12/9 in lowest terms is 4/3.

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