GCF (HCF) of 12 and 78

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 12 and 78?

Answer

GCF (HCF) of 12 and 78 is

Common factors: 1, 2, 3, 6

6 divides both: 12 ÷ 6 = 2, 78 ÷ 6 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

12 = 2² × 3

78 = 2 × 3 × 13

Prime	12	78	Lowest power
2	2²	2	2
3	3	3	3
13	—	13	—

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

GCF = 2 × 3 = 6

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 78?

GCF (HCF) of 12 and 78 is 6

How to find the GCF of 12 and 78?

You can find the GCF of 12 and 78 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 78 is 6.

What prime factors do 12 and 78 share?

The prime factorizations of 12 and 78 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/78?

Divide the numerator and the denominator by the GCF 6: 12 ÷ 6 = 2 and 78 ÷ 6 = 13. So 12/78 in lowest terms is 2/13.

GCF (HCF) of 12 and 78

What is the Greatest Common Divisor of 12 and 78?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 12 and 78?

How to find the GCF of 12 and 78?

What prime factors do 12 and 78 share?

How does the GCF reduce the fraction 12/78?

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