GCF (HCF) of 4 and 25

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What is the Greatest Common Divisor of 4 and 25?

Answer

GCF (HCF) of 4 and 25 is
1

Common factors: 1

Only 1 divides both: 4 and 25 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 4 × 25 = 100.

4 = 22

25 = 52

Prime425Lowest power
222——
5—52—

— = 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
462
471
484
491
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4302
4324
4351
4364
4371
4404
4422
4444
4451
4484
4502

FAQ

What is the Greatest Common Divisor of 4 and 25?

GCF (HCF) of 4 and 25 is 1

How to find the GCF of 4 and 25?

You can find the GCF of 4 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 25 is 1.

What prime factors do 4 and 25 share?

4 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 4/25?

Divide the numerator and the denominator by the GCF 1: 4 ÷ 1 = 4 and 25 ÷ 1 = 25. So 4/25 in lowest terms is 4/25.

Are 4 and 25 coprime?

Yes, 4 and 25 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also