GCF (HCF) of 156 and 364

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What is the Greatest Common Divisor of 156 and 364?

Answer

GCF (HCF) of 156 and 364 is
52

Common factors: 1, 2, 4, 13, 26, 52

52 divides both: 156 ÷ 52 = 3, 364 ÷ 52 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.

156 = 22 × 3 × 13

364 = 22 × 7 × 13

Prime156364Lowest power
2222222
33——
7—7—
13131313

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

GCF = 22 × 13 = 52

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GCF Table

Number 1Number 2GCF
1563491
1563502
15635139
1563524
1563531
1563546
1563551
1563564
1563573
1563582
1563591
15636012
1563611
1563622
1563633
15636452
1563651
1563666
1563671
1563684
1563693
1563702
1563711
15637212
1563731
1563742
1563753
1563764
15637713
1563786

FAQ

What is the Greatest Common Divisor of 156 and 364?

GCF (HCF) of 156 and 364 is 52

How to find the GCF of 156 and 364?

You can find the GCF of 156 and 364 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 156 and 364 is 52.

What prime factors do 156 and 364 share?

The prime factorizations of 156 and 364 have 2 × 2 × 13 in common, and multiplying those shared primes gives 52 — exactly the greatest common factor.

How does the GCF reduce the fraction 156/364?

Divide the numerator and the denominator by the GCF 52: 156 ÷ 52 = 3 and 364 ÷ 52 = 7. So 156/364 in lowest terms is 3/7.

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