GCF (HCF) of 12 and 68

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What is the Greatest Common Divisor of 12 and 68?

Answer

GCF (HCF) of 12 and 68 is
4

Common factors: 1, 2, 4

4 divides both: 12 ÷ 4 = 3, 68 ÷ 4 = 17 — and 3 and 17 share no factor but 1, so no larger number divides both.

12 = 22 × 3

68 = 22 × 17

Prime1268Lowest power
2222222
33——
17—17—

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
12342
12351
123612
12393
12404
12411
12426
12431
12444
12453
124812
12491
12502
12524
12546
12564
126012
12666
12684
127212
12753
12764
12786
12804
128412
12884
121004
1210812
1218012
1230012

FAQ

What is the Greatest Common Divisor of 12 and 68?

GCF (HCF) of 12 and 68 is 4

How to find the GCF of 12 and 68?

You can find the GCF of 12 and 68 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 68 is 4.

What prime factors do 12 and 68 share?

The prime factorizations of 12 and 68 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/68?

Divide the numerator and the denominator by the GCF 4: 12 ÷ 4 = 3 and 68 ÷ 4 = 17. So 12/68 in lowest terms is 3/17.

See Also