GCF (HCF) of 12 and 33

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 12 and 33?

Answer

GCF (HCF) of 12 and 33 is

Common factors: 1, 3

3 divides both: 12 ÷ 3 = 4, 33 ÷ 3 = 11 — and 4 and 11 share no factor but 1, so no larger number divides both.

12 = 2² × 3

33 = 3 × 11

Prime	12	33	Lowest power
2	2²	—	—
3	3	3	3
11	—	11	—

— = 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	15	3
12	16	4
12	17	1
12	18	6
12	19	1
12	20	4
12	21	3
12	22	2
12	24	12
12	25	1
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

FAQ

What is the Greatest Common Divisor of 12 and 33?

GCF (HCF) of 12 and 33 is 3

How to find the GCF of 12 and 33?

You can find the GCF of 12 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 33 is 3.

What prime factors do 12 and 33 share?

The prime factorizations of 12 and 33 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/33?

Divide the numerator and the denominator by the GCF 3: 12 ÷ 3 = 4 and 33 ÷ 3 = 11. So 12/33 in lowest terms is 4/11.

GCF (HCF) of 12 and 33

What is the Greatest Common Divisor of 12 and 33?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 12 and 33?

How to find the GCF of 12 and 33?

What prime factors do 12 and 33 share?

How does the GCF reduce the fraction 12/33?

See Also

Number 1	Number 2	GCF
12	15	3
12	16	4
12	17	1
12	18	6
12	19	1
12	20	4
12	21	3
12	22	2
12	24	12
12	25	1
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

Number 1	Number 2	GCF
12	15	3
12	16	4
12	17	1
12	18	6
12	19	1
12	20	4
12	21	3
12	22	2
12	24	12
12	25	1
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

Number 1	Number 2	GCF
12	15	3
12	16	4
12	17	1
12	18	6
12	19	1
12	20	4
12	21	3
12	22	2
12	24	12
12	25	1
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