Feedback form

GCF (HCF) of 72 and 108

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 108?

Answer

GCF (HCF) of 72 and 108 is

36

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

36 divides both: 72 ÷ 36 = 2, 108 ÷ 36 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

108 = 2² × 3³

Prime	72	108	Lowest power
2	2³	2²	2²
3	3²	3³	3²

GCF = 2² × 3² = 36

More with these numbers

Found an error in the calculation or the information?

Related Calculations

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

Share This Calculation

Print

https://calculat.io/en/number/greatest-common-factor-of/72--108

<a href="https://calculat.io/en/number/greatest-common-factor-of/72--108">What is the GCF (HCF) of 72 and 108 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 72 and 108. The GCF of 72 and 108 is 36 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/72--108/generated.jpg

GCF Table

Number 1	Number 2	GCF
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1
72	114	6
72	115	1
72	116	4
72	117	9
72	118	2
72	119	1
72	120	24
72	121	1
72	122	2

FAQ

What is the Greatest Common Divisor of 72 and 108?

GCF (HCF) of 72 and 108 is 36

How to find the GCF of 72 and 108?

You can find the GCF of 72 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 108 is 36.

What prime factors do 72 and 108 share?

The prime factorizations of 72 and 108 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 72/108?

Divide the numerator and the denominator by the GCF 36: 72 ÷ 36 = 2 and 108 ÷ 36 = 3. So 72/108 in lowest terms is 2/3.