GCF (HCF) of 13 and 52

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What is the Greatest Common Divisor of 13 and 52?

Answer

GCF (HCF) of 13 and 52 is
13

Common factors: 1, 13

13 divides 52 (52 ÷ 13 = 4), so the GCF is the smaller number itself.

13 — prime

52 = 22 × 13

Prime1352Lowest power
2—22—
13131313

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

GCF = 13

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GCF Table

Number 1Number 2GCF
13211
13221
13241
13251
132613
13271
13291
13301
13311
13321
13341
13351
13361
13371
13381
133913
13411
13421
13451
13461
13471
13481
13501
135213
13541
13551
13561
13581
13601
136513

FAQ

What is the Greatest Common Divisor of 13 and 52?

GCF (HCF) of 13 and 52 is 13

How to find the GCF of 13 and 52?

You can find the GCF of 13 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 52 is 13.

What prime factors do 13 and 52 share?

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

How does the GCF reduce the fraction 13/52?

Divide the numerator and the denominator by the GCF 13: 13 ÷ 13 = 1 and 52 ÷ 13 = 4. So 13/52 in lowest terms is 1/4.

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