GCF (HCF) of 12 and 300

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 12 and 300?

Answer

GCF (HCF) of 12 and 300 is

Common factors: 1, 2, 3, 4, 6, 12

12 divides 300 (300 ÷ 12 = 25), so the GCF is the smaller number itself.

12 = 2² × 3

300 = 2² × 3 × 5²

Prime	12	300	Lowest power
2	2²	2²	2²
3	3	3	3
5	—	5²	—

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

GCF = 2² × 3 = 12

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
12	84	12
12	88	4
12	100	4
12	108	12
12	180	12
12	300	12

FAQ

What is the Greatest Common Divisor of 12 and 300?

GCF (HCF) of 12 and 300 is 12

How to find the GCF of 12 and 300?

You can find the GCF of 12 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 300 is 12.

What prime factors do 12 and 300 share?

The prime factorizations of 12 and 300 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/300?

Divide the numerator and the denominator by the GCF 12: 12 ÷ 12 = 1 and 300 ÷ 12 = 25. So 12/300 in lowest terms is 1/25.

GCF (HCF) of 12 and 300

What is the Greatest Common Divisor of 12 and 300?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 12 and 300?

How to find the GCF of 12 and 300?

What prime factors do 12 and 300 share?

How does the GCF reduce the fraction 12/300?

See Also

Number 1	Number 2	GCF
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
12	84	12
12	88	4
12	100	4
12	108	12
12	180	12
12	300	12

Number 1	Number 2	GCF
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
12	84	12
12	88	4
12	100	4
12	108	12
12	180	12
12	300	12

Number 1	Number 2	GCF
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
12	84	12
12	88	4
12	100	4
12	108	12
12	180	12
12	300	12