GCF (HCF) of 12 and 24

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What is the Greatest Common Divisor of 12 and 24?

Answer

GCF (HCF) of 12 and 24 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides 24 (24 ÷ 12 = 2), so the GCF is the smaller number itself.

12 = 22 × 3

24 = 23 × 3

Prime1224Lowest power
2222322
3333

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
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
12426

FAQ

What is the Greatest Common Divisor of 12 and 24?

GCF (HCF) of 12 and 24 is 12

How to find the GCF of 12 and 24?

You can find the GCF of 12 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 24 is 12.

What prime factors do 12 and 24 share?

The prime factorizations of 12 and 24 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/24?

Divide the numerator and the denominator by the GCF 12: 12 ÷ 12 = 1 and 24 ÷ 12 = 2. So 12/24 in lowest terms is 1/2.

See Also