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GCF (HCF) of 15 and 75

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 15 and 75?

Answer

GCF (HCF) of 15 and 75 is

15

Common factors: 1, 3, 5, 15

15 divides 75 (75 ÷ 15 = 5), so the GCF is the smaller number itself.

15 = 3 × 5

75 = 3 × 5²

Prime	15	75	Lowest power
3	3	3	3
5	5	5²	5

GCF = 3 × 5 = 15

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 15 and 75. The GCF of 15 and 75 is 15 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
15	23	1
15	24	3
15	25	5
15	26	1
15	27	3
15	28	1
15	29	1
15	30	15
15	32	1
15	33	3
15	35	5
15	36	3
15	38	1
15	40	5
15	42	3
15	44	1
15	45	15
15	48	3
15	49	1
15	50	5
15	53	1
15	55	5
15	56	1
15	60	15
15	64	1
15	75	15
15	77	1
15	80	5
15	100	5
15	125	5

FAQ

What is the Greatest Common Divisor of 15 and 75?

GCF (HCF) of 15 and 75 is 15

How to find the GCF of 15 and 75?

You can find the GCF of 15 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 15 and 75 is 15.

What prime factors do 15 and 75 share?

The prime factorizations of 15 and 75 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 15/75?

Divide the numerator and the denominator by the GCF 15: 15 ÷ 15 = 1 and 75 ÷ 15 = 5. So 15/75 in lowest terms is 1/5.