GCF (HCF) of 25 and 50

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What is the Greatest Common Divisor of 25 and 50?

Answer

GCF (HCF) of 25 and 50 is
25

Common factors: 1, 5, 25

25 divides 50 (50 ÷ 25 = 2), so the GCF is the smaller number itself.

25 = 52

50 = 2 × 52

Prime2550Lowest power
2—2—
5525252

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

GCF = 52 = 25

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GCF Table

Number 1Number 2GCF
25261
25281
25305
25311
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

FAQ

What is the Greatest Common Divisor of 25 and 50?

GCF (HCF) of 25 and 50 is 25

How to find the GCF of 25 and 50?

You can find the GCF of 25 and 50 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 50 is 25.

What prime factors do 25 and 50 share?

The prime factorizations of 25 and 50 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 25/50?

Divide the numerator and the denominator by the GCF 25: 25 ÷ 25 = 1 and 50 ÷ 25 = 2. So 25/50 in lowest terms is 1/2.

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