GCF (HCF) of 104 and 156

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What is the Greatest Common Divisor of 104 and 156?

Answer

GCF (HCF) of 104 and 156 is
52

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

52 divides both: 104 ÷ 52 = 2, 156 ÷ 52 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

104 = 23 × 13

156 = 22 × 3 × 13

Prime104156Lowest power
2232222
3—3—
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
1041411
1041422
10414313
1041448
1041451
1041462
1041471
1041484
1041491
1041502
1041511
1041528
1041531
1041542
1041551
10415652
1041571
1041582
1041591
1041608
1041611
1041622
1041631
1041644
1041651
1041662
1041671
1041688
10416913
1041702

FAQ

What is the Greatest Common Divisor of 104 and 156?

GCF (HCF) of 104 and 156 is 52

How to find the GCF of 104 and 156?

You can find the GCF of 104 and 156 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 104 and 156 is 52.

What prime factors do 104 and 156 share?

The prime factorizations of 104 and 156 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 104/156?

Divide the numerator and the denominator by the GCF 52: 104 ÷ 52 = 2 and 156 ÷ 52 = 3. So 104/156 in lowest terms is 2/3.

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