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GCF of 72 and 120 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 120?

Answer

GCF of 72 and 120 is

(Twenty-four)

Finding GCF for 72 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 72 and 120 is 24

Finding GCF for 72 and 120 by Prime Factorization

The second method to find GCF for numbers 72 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

All Prime Factors of 120: 2, 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

Found an error in the calculation or the information?

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
72	123	3
72	124	4
72	125	1
72	126	18
72	127	1
72	128	8
72	129	3
72	130	2
72	131	1
72	132	12
72	133	1
72	134	2

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 72 and 120? (The answer is: 24). Select the first number (e.g. '72') and the second number (e.g. '120'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 72 and 120?

GCF of 72 and 120 is 24

How to find the GCF of 72 and 120?

You can find the GCF of 72 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 120 is 24.

What prime factors do 72 and 120 share?

The prime factorizations of 72 and 120 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/120?

Divide the numerator and the denominator by the GCF 24: 72 ÷ 24 = 3 and 120 ÷ 24 = 5. So 72/120 in lowest terms is 3/5.

GCF of 72 and 120 (Greatest Common Factor)

What is the Greatest Common Divisor of 72 and 120?

Finding GCF for 72 and 120 using all factors (divisors) listing

Finding GCF for 72 and 120 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 72 and 120?

How to find the GCF of 72 and 120?

What prime factors do 72 and 120 share?

How does the GCF reduce the fraction 72/120?

See Also

Number 1	Number 2	GCF
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
72	123	3
72	124	4
72	125	1
72	126	18
72	127	1
72	128	8
72	129	3
72	130	2
72	131	1
72	132	12
72	133	1
72	134	2

Number 1	Number 2	GCF
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
72	123	3
72	124	4
72	125	1
72	126	18
72	127	1
72	128	8
72	129	3
72	130	2
72	131	1
72	132	12
72	133	1
72	134	2

Number 1	Number 2	GCF
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
72	123	3
72	124	4
72	125	1
72	126	18
72	127	1
72	128	8
72	129	3
72	130	2
72	131	1
72	132	12
72	133	1
72	134	2