GCF of 108 and 24 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 24?

Answer

GCF of 108 and 24 is

(Twelve)

Finding GCF for 108 and 24 using all factors (divisors) listing

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

So the Greatest Common Factor for 108 and 24 is 12

Finding GCF for 108 and 24 by Prime Factorization

The second method to find GCF for numbers 108 and 24 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 24: 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

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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 24? (The answer is: 12). Select the first number (e.g. '108') and the second number (e.g. '24'). 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	9	9
108	10	2
108	11	1
108	12	12
108	13	1
108	14	2
108	15	3
108	16	4
108	17	1
108	18	18
108	19	1
108	20	4
108	21	3
108	22	2
108	23	1
108	24	12
108	25	1
108	26	2
108	27	27
108	28	4
108	29	1
108	30	6
108	31	1
108	32	4
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2

FAQ

What is the Greatest Common Divisor of 108 and 24?

GCF of 108 and 24 is 12

How to find the GCF of 108 and 24?

You can find the GCF of 108 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 24 is 12.

What prime factors do 108 and 24 share?

The prime factorizations of 108 and 24 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 108/24?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 24 ÷ 12 = 2. So 108/24 in lowest terms is 9/2.

GCF of 108 and 24 (Greatest Common Factor)

What is the Greatest Common Divisor of 108 and 24?

Finding GCF for 108 and 24 using all factors (divisors) listing

Finding GCF for 108 and 24 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 24?

How to find the GCF of 108 and 24?

What prime factors do 108 and 24 share?

How does the GCF reduce the fraction 108/24?

See Also

Number 1	Number 2	GCF
108	9	9
108	10	2
108	11	1
108	12	12
108	13	1
108	14	2
108	15	3
108	16	4
108	17	1
108	18	18
108	19	1
108	20	4
108	21	3
108	22	2
108	23	1
108	24	12
108	25	1
108	26	2
108	27	27
108	28	4
108	29	1
108	30	6
108	31	1
108	32	4
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2

Number 1	Number 2	GCF
108	9	9
108	10	2
108	11	1
108	12	12
108	13	1
108	14	2
108	15	3
108	16	4
108	17	1
108	18	18
108	19	1
108	20	4
108	21	3
108	22	2
108	23	1
108	24	12
108	25	1
108	26	2
108	27	27
108	28	4
108	29	1
108	30	6
108	31	1
108	32	4
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2

Number 1	Number 2	GCF
108	9	9
108	10	2
108	11	1
108	12	12
108	13	1
108	14	2
108	15	3
108	16	4
108	17	1
108	18	18
108	19	1
108	20	4
108	21	3
108	22	2
108	23	1
108	24	12
108	25	1
108	26	2
108	27	27
108	28	4
108	29	1
108	30	6
108	31	1
108	32	4
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2