Feedback form

GCF (HCF) of 45 and 15

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 45 and 15?

Answer

GCF (HCF) of 45 and 15 is

15

Common factors: 1, 3, 5, 15

15 divides 45 (45 ÷ 15 = 3), so the GCF is the smaller number itself.

45 = 3² × 5

15 = 3 × 5

Prime	45	15	Lowest power
3	3²	3	3
5	5	5	5

GCF = 3 × 5 = 15

More with these numbers

Found an error in the calculation or the information?

Related Calculations

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

Share This Calculation

Print

https://calculat.io/en/number/greatest-common-factor-of/45--15

<a href="https://calculat.io/en/number/greatest-common-factor-of/45--15">What is the GCF (HCF) of 45 and 15 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 45 and 15. The GCF of 45 and 15 is 15 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/45--15/generated.jpg

GCF Table

Number 1	Number 2	GCF
45	15	15
45	30	15
45	48	3
45	49	1
45	50	5
45	51	3
45	52	1
45	54	9
45	55	5
45	56	1
45	60	15
45	63	9
45	65	5
45	70	5
45	72	9
45	75	15
45	76	1
45	80	5
45	81	9
45	90	45
45	95	5
45	99	9
45	100	5
45	105	15
45	108	9
45	117	9
45	120	15
45	125	5
45	135	45
45	150	15

FAQ

What is the Greatest Common Divisor of 45 and 15?

GCF (HCF) of 45 and 15 is 15

How to find the GCF of 45 and 15?

You can find the GCF of 45 and 15 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 45 and 15 is 15.

What prime factors do 45 and 15 share?

The prime factorizations of 45 and 15 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 45/15?

Divide the numerator and the denominator by the GCF 15: 45 ÷ 15 = 3 and 15 ÷ 15 = 1. So 45/15 in lowest terms is 3/1.