GCF (HCF) of 14 and 17

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Greatest Common Factor of
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What is the Greatest Common Divisor of 14 and 17?

Answer

GCF (HCF) of 14 and 17 is
1

Common factors: 1

Only 1 divides both: 14 and 17 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 14 × 17 = 238.

14 = 2 × 7

17 — prime

Prime1417Lowest power
22——
77——
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
1411
1491
14151
14162
14171
14182
14191
14202
14217
14222
14231
14242
14251
14262
14271
142814
14302
14322
14331
14342
14357
14362
14382
14391
14411
144214
14431
14442
14451
14462

FAQ

What is the Greatest Common Divisor of 14 and 17?

GCF (HCF) of 14 and 17 is 1

How to find the GCF of 14 and 17?

You can find the GCF of 14 and 17 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 17 is 1.

What prime factors do 14 and 17 share?

14 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 14/17?

Divide the numerator and the denominator by the GCF 1: 14 ÷ 1 = 14 and 17 ÷ 1 = 17. So 14/17 in lowest terms is 14/17.

Are 14 and 17 coprime?

Yes, 14 and 17 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also