GCF (HCF) of 7 and 25

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What is the Greatest Common Divisor of 7 and 25?

Answer

GCF (HCF) of 7 and 25 is
1

Common factors: 1

Only 1 divides both: 7 and 25 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 7 × 25 = 175.

7 — prime

25 = 52

Prime725Lowest power
5—52—
77——

— = 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
741
751
781
791
7101
7111
7121
7131
7147
7151
7161
7171
7181
7191
7201
7217
7241
7251
7287
7301
7357
7361
7427
7431
7461
7497
7511
7567
7637
71057

FAQ

What is the Greatest Common Divisor of 7 and 25?

GCF (HCF) of 7 and 25 is 1

How to find the GCF of 7 and 25?

You can find the GCF of 7 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 7 and 25 is 1.

What prime factors do 7 and 25 share?

7 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 7/25?

Divide the numerator and the denominator by the GCF 1: 7 ÷ 1 = 7 and 25 ÷ 1 = 25. So 7/25 in lowest terms is 7/25.

Are 7 and 25 coprime?

Yes, 7 and 25 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also