Greatest Common Factor of 108 and 109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 108, 109 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 108 and 109 is 1.

GCF(108,109) = 1

GCF of 108 and 109

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 108 and 109

GCF of 108 and 109 is 1

Prime Factorization of 108


2 108
2 54
3 27
3 9
3 3
1

Prime factors of 108 are 2,3. Prime factorization of 108 in exponential form is:

108 = 22×33

Prime Factorization of 109


109 109
1

Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:

109 = 1091

∴ So by taking common prime factors GCF of 108 and 109 is 1

Greatest Common Factor of 108 and 109 by matching factors method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors and prime factorization of 108 and 109. The biggest common factor number is the GCF number.
So the greatest common factor 108 and 109 is 1.

Also check out the Least Common Multiple of 108 and 109

Properties of GCF 108 and 109

(i) The GCF of 108 and 109 is associative

GCF of 108 and 109 = GCF of 109 and 108

Related Greatest Common Factor of 108

Related Greatest Common Factor of 109

Frequently Asked Questions on GCF of 108 and 109

1. What is the GCF of 108 and 109?

Answer: GCF of 108 and 109 is 1.

2. What are the Factors of 108?

Answer: Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. There are 12 integers that are factors of 108. The greatest factor of 108 is 108.

3. What are the Factors of 109?

Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.

4. How to Find the GCF of 108 and 109?

Answer:

Greatest Common Factor of 108 and 109 = 1

Step 1: Find the prime factorization of 108

108 = 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 109

109 = 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 108 and 109 is 1