GCF of 108 and 120 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 120?

Answer

GCF of 108 and 120 is

(Twelve)

Finding GCF for 108 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 108 and 120 is 12

Finding GCF for 108 and 120 by Prime Factorization

The second method to find GCF for numbers 108 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 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, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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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 108 and 120? (The answer is: 12). Select the first number (e.g. '108') 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

GCF Table

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

FAQ

What is the Greatest Common Divisor of 108 and 120?

GCF of 108 and 120 is 12

How to find the GCF of 108 and 120?

You can find the GCF of 108 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 120 is 12.

What prime factors do 108 and 120 share?

The prime factorizations of 108 and 120 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 108/120?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 120 ÷ 12 = 10. So 108/120 in lowest terms is 9/10.

GCF of 108 and 120 (Greatest Common Factor)

What is the Greatest Common Divisor of 108 and 120?

Finding GCF for 108 and 120 using all factors (divisors) listing

Finding GCF for 108 and 120 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 120?

How to find the GCF of 108 and 120?

What prime factors do 108 and 120 share?

How does the GCF reduce the fraction 108/120?

See Also

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2