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GCF (HCF) of 72 and 36

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What is the Greatest Common Divisor of 72 and 36?

Answer

GCF (HCF) of 72 and 36 is

36

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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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 72 and 36. The GCF of 72 and 36 is 36 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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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.