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GCF of 108 and 48 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 48?

Answer

GCF of 108 and 48 is

(Twelve)

Finding GCF for 108 and 48 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 48 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 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So the Greatest Common Factor for 108 and 48 is 12

Finding GCF for 108 and 48 by Prime Factorization

The second method to find GCF for numbers 108 and 48 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 48: 2, 2, 2, 2, 3

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

Found an error in the calculation or the information?

Related Calculations

GCF Table

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	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 108 and 48? (The answer is: 12). Select the first number (e.g. '108') and the second number (e.g. '48'). 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 108 and 48?

GCF of 108 and 48 is 12

How to find the GCF of 108 and 48?

You can find the GCF of 108 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 48 is 12.

What prime factors do 108 and 48 share?

The prime factorizations of 108 and 48 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 108/48?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 48 ÷ 12 = 4. So 108/48 in lowest terms is 9/4.

GCF of 108 and 48 (Greatest Common Factor)

What is the Greatest Common Divisor of 108 and 48?

Finding GCF for 108 and 48 using all factors (divisors) listing

Finding GCF for 108 and 48 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 108 and 48?

How to find the GCF of 108 and 48?

What prime factors do 108 and 48 share?

How does the GCF reduce the fraction 108/48?

See Also

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2