GCF (HCF) of 13 and 17

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What is the Greatest Common Divisor of 13 and 17?

Answer

GCF (HCF) of 13 and 17 is
1

Common factors: 1

Only 1 divides both: 13 and 17 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 13 × 17 = 221.

13 — prime

17 — prime

Prime1317Lowest power
1313——
17—17—

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

GCF = 1

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GCF Table

Number 1Number 2GCF
13141
13151
13161
13171
13181
13191
13201
13211
13221
13241
13251
132613
13271
13291
13301
13311
13321
13341
13351
13361
13371
13381
133913
13411
13421
13451
13461
13471
13481
13501

FAQ

What is the Greatest Common Divisor of 13 and 17?

GCF (HCF) of 13 and 17 is 1

How to find the GCF of 13 and 17?

You can find the GCF of 13 and 17 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 17 is 1.

What prime factors do 13 and 17 share?

13 and 17 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 13/17?

Divide the numerator and the denominator by the GCF 1: 13 ÷ 1 = 13 and 17 ÷ 1 = 17. So 13/17 in lowest terms is 13/17.

Are 13 and 17 coprime?

Yes, 13 and 17 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also