GCF (HCF) of 13 and 65

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What is the Greatest Common Divisor of 13 and 65?

Answer

GCF (HCF) of 13 and 65 is
13

Common factors: 1, 13

13 divides 65 (65 ÷ 13 = 5), so the GCF is the smaller number itself.

13 — prime

65 = 5 × 13

Prime1365Lowest power
5—5—
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
13201
13211
13221
13241
13251
132613
13271
13291
13301
13311
13321
13341
13351
13361
13371
13381
133913
13411
13421
13451
13461
13471
13481
13501
135213
13551
13561
13581
13601
136513

FAQ

What is the Greatest Common Divisor of 13 and 65?

GCF (HCF) of 13 and 65 is 13

How to find the GCF of 13 and 65?

You can find the GCF of 13 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 65 is 13.

What prime factors do 13 and 65 share?

The prime factorizations of 13 and 65 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 13/65?

Divide the numerator and the denominator by the GCF 13: 13 ÷ 13 = 1 and 65 ÷ 13 = 5. So 13/65 in lowest terms is 1/5.

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