GCF (HCF) of 25 and 105

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What is the Greatest Common Divisor of 25 and 105?

Answer

GCF (HCF) of 25 and 105 is
5

Common factors: 1, 5

5 divides both: 25 ÷ 5 = 5, 105 ÷ 5 = 21 — and 5 and 21 share no factor but 1, so no larger number divides both.

25 = 52

105 = 3 × 5 × 7

Prime25105Lowest power
3—3—
55255
7—7—

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

GCF = 5

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GCF Table

Number 1Number 2GCF
25321
25331
25355
25361
25391
25405
25421
25441
25455
25481
25491
255025
25555
25561
25605
25641
25655
25705
257525
25805
25811
25905
2510025
251055
251211
2512525
251441
2515025
2517525
2520025

FAQ

What is the Greatest Common Divisor of 25 and 105?

GCF (HCF) of 25 and 105 is 5

How to find the GCF of 25 and 105?

You can find the GCF of 25 and 105 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 105 is 5.

What prime factors do 25 and 105 share?

The prime factorizations of 25 and 105 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 25/105?

Divide the numerator and the denominator by the GCF 5: 25 ÷ 5 = 5 and 105 ÷ 5 = 21. So 25/105 in lowest terms is 5/21.

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