Feedback form

GCF (HCF) of 6 and 45

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 6 and 45?

Answer

GCF (HCF) of 6 and 45 is

3

Common factors: 1, 3

3 divides both: 6 ÷ 3 = 2, 45 ÷ 3 = 15 — and 2 and 15 share no factor but 1, so no larger number divides both.

6 = 2 × 3

45 = 3² × 5

Prime	6	45	Lowest power
2	2	—	—
3	3	3²	3
5	—	5	—

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

GCF = 3

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/6--45

<a href="https://calculat.io/en/number/greatest-common-factor-of/6--45">What is the GCF (HCF) of 6 and 45 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 6 and 45. The GCF of 6 and 45 is 3 — 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/6--45/generated.jpg

GCF Table

Number 1	Number 2	GCF
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2
6	81	3
6	90	6
6	100	2

FAQ

What is the Greatest Common Divisor of 6 and 45?

GCF (HCF) of 6 and 45 is 3

How to find the GCF of 6 and 45?

You can find the GCF of 6 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 45 is 3.

What prime factors do 6 and 45 share?

The prime factorizations of 6 and 45 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/45?

Divide the numerator and the denominator by the GCF 3: 6 ÷ 3 = 2 and 45 ÷ 3 = 15. So 6/45 in lowest terms is 2/15.