GCF (HCF) of 72 and 36

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 36?

Answer

GCF (HCF) of 72 and 36 is

Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

36 divides 72 (72 ÷ 36 = 2), so the GCF is the smaller number itself.

72 = 2³ × 3²

36 = 2² × 3²

Prime	72	36	Lowest power
2	2³	2²	2²
3	3²	3²	3²

GCF = 2² × 3² = 36

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Related Calculations

GCF Table

Number 1	Number 2	GCF
72	21	3
72	22	2
72	23	1
72	24	24
72	25	1
72	26	2
72	27	9
72	28	4
72	29	1
72	30	6
72	31	1
72	32	8
72	33	3
72	34	2
72	35	1
72	36	36
72	37	1
72	38	2
72	39	3
72	40	8
72	41	1
72	42	6
72	43	1
72	44	4
72	45	9
72	46	2
72	47	1
72	48	24
72	49	1
72	50	2

FAQ

What is the Greatest Common Divisor of 72 and 36?

GCF (HCF) of 72 and 36 is 36

How to find the GCF of 72 and 36?

You can find the GCF of 72 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 36 is 36.

What prime factors do 72 and 36 share?

The prime factorizations of 72 and 36 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/36?

Divide the numerator and the denominator by the GCF 36: 72 ÷ 36 = 2 and 36 ÷ 36 = 1. So 72/36 in lowest terms is 2/1.

GCF (HCF) of 72 and 36

What is the Greatest Common Divisor of 72 and 36?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 36?

How to find the GCF of 72 and 36?

What prime factors do 72 and 36 share?

How does the GCF reduce the fraction 72/36?

See Also

Number 1	Number 2	GCF
72	21	3
72	22	2
72	23	1
72	24	24
72	25	1
72	26	2
72	27	9
72	28	4
72	29	1
72	30	6
72	31	1
72	32	8
72	33	3
72	34	2
72	35	1
72	36	36
72	37	1
72	38	2
72	39	3
72	40	8
72	41	1
72	42	6
72	43	1
72	44	4
72	45	9
72	46	2
72	47	1
72	48	24
72	49	1
72	50	2

Number 1	Number 2	GCF
72	21	3
72	22	2
72	23	1
72	24	24
72	25	1
72	26	2
72	27	9
72	28	4
72	29	1
72	30	6
72	31	1
72	32	8
72	33	3
72	34	2
72	35	1
72	36	36
72	37	1
72	38	2
72	39	3
72	40	8
72	41	1
72	42	6
72	43	1
72	44	4
72	45	9
72	46	2
72	47	1
72	48	24
72	49	1
72	50	2

Number 1	Number 2	GCF
72	21	3
72	22	2
72	23	1
72	24	24
72	25	1
72	26	2
72	27	9
72	28	4
72	29	1
72	30	6
72	31	1
72	32	8
72	33	3
72	34	2
72	35	1
72	36	36
72	37	1
72	38	2
72	39	3
72	40	8
72	41	1
72	42	6
72	43	1
72	44	4
72	45	9
72	46	2
72	47	1
72	48	24
72	49	1
72	50	2