GCF (HCF) of 12 and 45

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 12 and 45?

Answer

GCF (HCF) of 12 and 45 is

Common factors: 1, 3

3 divides both: 12 ÷ 3 = 4, 45 ÷ 3 = 15 — and 4 and 15 share no factor but 1, so no larger number divides both.

12 = 2² × 3

45 = 3² × 5

Prime	12	45	Lowest power
2	2²	—	—
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

Related Calculations

GCF Table

Number 1	Number 2	GCF
12	26	2
12	27	3
12	28	4
12	30	6
12	32	4
12	33	3
12	34	2
12	35	1
12	36	12
12	39	3
12	40	4
12	41	1
12	42	6
12	43	1
12	44	4
12	45	3
12	48	12
12	49	1
12	50	2
12	52	4
12	54	6
12	56	4
12	60	12
12	66	6
12	68	4
12	72	12
12	75	3
12	76	4
12	78	6
12	80	4

FAQ

What is the Greatest Common Divisor of 12 and 45?

GCF (HCF) of 12 and 45 is 3

How to find the GCF of 12 and 45?

You can find the GCF of 12 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 45 is 3.

What prime factors do 12 and 45 share?

The prime factorizations of 12 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 12/45?

Divide the numerator and the denominator by the GCF 3: 12 ÷ 3 = 4 and 45 ÷ 3 = 15. So 12/45 in lowest terms is 4/15.

GCF (HCF) of 12 and 45

What is the Greatest Common Divisor of 12 and 45?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 12 and 45?

How to find the GCF of 12 and 45?

What prime factors do 12 and 45 share?

How does the GCF reduce the fraction 12/45?

See Also

Number 1	Number 2	GCF
12	26	2
12	27	3
12	28	4
12	30	6
12	32	4
12	33	3
12	34	2
12	35	1
12	36	12
12	39	3
12	40	4
12	41	1
12	42	6
12	43	1
12	44	4
12	45	3
12	48	12
12	49	1
12	50	2
12	52	4
12	54	6
12	56	4
12	60	12
12	66	6
12	68	4
12	72	12
12	75	3
12	76	4
12	78	6
12	80	4

Number 1	Number 2	GCF
12	26	2
12	27	3
12	28	4
12	30	6
12	32	4
12	33	3
12	34	2
12	35	1
12	36	12
12	39	3
12	40	4
12	41	1
12	42	6
12	43	1
12	44	4
12	45	3
12	48	12
12	49	1
12	50	2
12	52	4
12	54	6
12	56	4
12	60	12
12	66	6
12	68	4
12	72	12
12	75	3
12	76	4
12	78	6
12	80	4

Number 1	Number 2	GCF
12	26	2
12	27	3
12	28	4
12	30	6
12	32	4
12	33	3
12	34	2
12	35	1
12	36	12
12	39	3
12	40	4
12	41	1
12	42	6
12	43	1
12	44	4
12	45	3
12	48	12
12	49	1
12	50	2
12	52	4
12	54	6
12	56	4
12	60	12
12	66	6
12	68	4
12	72	12
12	75	3
12	76	4
12	78	6
12	80	4