GCF (HCF) of 33 and 42

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 33 and 42?

Answer

GCF (HCF) of 33 and 42 is

Common factors: 1, 3

3 divides both: 33 ÷ 3 = 11, 42 ÷ 3 = 14 — and 11 and 14 share no factor but 1, so no larger number divides both.

33 = 3 × 11

42 = 2 × 3 × 7

Prime	33	42	Lowest power
2	—	2	—
3	3	3	3
7	—	7	—
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
33	36	3
33	37	1
33	39	3
33	40	1
33	42	3
33	43	1
33	44	11
33	45	3
33	46	1
33	47	1
33	49	1
33	51	3
33	53	1
33	54	3
33	55	11
33	56	1
33	57	3
33	60	3
33	77	11
33	121	11

FAQ

What is the Greatest Common Divisor of 33 and 42?

GCF (HCF) of 33 and 42 is 3

How to find the GCF of 33 and 42?

You can find the GCF of 33 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 42 is 3.

What prime factors do 33 and 42 share?

The prime factorizations of 33 and 42 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 33/42?

Divide the numerator and the denominator by the GCF 3: 33 ÷ 3 = 11 and 42 ÷ 3 = 14. So 33/42 in lowest terms is 11/14.

GCF (HCF) of 33 and 42

What is the Greatest Common Divisor of 33 and 42?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 33 and 42?

How to find the GCF of 33 and 42?

What prime factors do 33 and 42 share?

How does the GCF reduce the fraction 33/42?

See Also

Number 1	Number 2	GCF
33	36	3
33	37	1
33	39	3
33	40	1
33	42	3
33	43	1
33	44	11
33	45	3
33	46	1
33	47	1
33	49	1
33	51	3
33	53	1
33	54	3
33	55	11
33	56	1
33	57	3
33	60	3
33	77	11
33	121	11

Number 1	Number 2	GCF
33	36	3
33	37	1
33	39	3
33	40	1
33	42	3
33	43	1
33	44	11
33	45	3
33	46	1
33	47	1
33	49	1
33	51	3
33	53	1
33	54	3
33	55	11
33	56	1
33	57	3
33	60	3
33	77	11
33	121	11

Number 1	Number 2	GCF
33	36	3
33	37	1
33	39	3
33	40	1
33	42	3
33	43	1
33	44	11
33	45	3
33	46	1
33	47	1
33	49	1
33	51	3
33	53	1
33	54	3
33	55	11
33	56	1
33	57	3
33	60	3
33	77	11
33	121	11