GCF (HCF) of 17 and 25

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Greatest Common Factor of
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What is the Greatest Common Divisor of 17 and 25?

Answer

GCF (HCF) of 17 and 25 is
1

Common factors: 1

Only 1 divides both: 17 and 25 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 17 × 25 = 425.

17 — prime

25 = 52

Prime1725Lowest power
5—52—
1717——

— = 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
17181
17191
17201
17211
17231
17241
17251
17261
17271
17281
17291
17301
173417
17381
17411
17421
17431
17441
17461
17471
17481
175117
17541
17551
17561
17581
17601

FAQ

What is the Greatest Common Divisor of 17 and 25?

GCF (HCF) of 17 and 25 is 1

How to find the GCF of 17 and 25?

You can find the GCF of 17 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 17 and 25 is 1.

What prime factors do 17 and 25 share?

17 and 25 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 17/25?

Divide the numerator and the denominator by the GCF 1: 17 ÷ 1 = 17 and 25 ÷ 1 = 25. So 17/25 in lowest terms is 17/25.

Are 17 and 25 coprime?

Yes, 17 and 25 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also