GCF (HCF) of 25 and 30

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Greatest Common Factor of
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What is the Greatest Common Divisor of 25 and 30?

Answer

GCF (HCF) of 25 and 30 is
5

Common factors: 1, 5

5 divides both: 25 ÷ 5 = 5, 30 ÷ 5 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

25 = 52

30 = 2 × 3 × 5

Prime2530Lowest power
2—2—
3—3—
55255

— = 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
25105
25155
25205
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

FAQ

What is the Greatest Common Divisor of 25 and 30?

GCF (HCF) of 25 and 30 is 5

How to find the GCF of 25 and 30?

You can find the GCF of 25 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 30 is 5.

What prime factors do 25 and 30 share?

The prime factorizations of 25 and 30 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 25/30?

Divide the numerator and the denominator by the GCF 5: 25 ÷ 5 = 5 and 30 ÷ 5 = 6. So 25/30 in lowest terms is 5/6.

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