Greatest Common Factor of 7108 and 7109

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 7108, 7109 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7108 and 7109 is 1.

GCF(7108,7109) = 1

GCF of 7108 and 7109

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

GCF of:
and

Greatest Common Factor of 7108 and 7109

GCF of 7108 and 7109 is 1

Prime Factorization of 7108


2 7108
2 3554
1777 1777
1

Prime factors of 7108 are 2,1777. Prime factorization of 7108 in exponential form is:

7108 = 22×17771

Prime Factorization of 7109


7109 7109
1

Prime factors of 7109 are 7109. Prime factorization of 7109 in exponential form is:

7109 = 71091

∴ So by taking common prime factors GCF of 7108 and 7109 is 1

Greatest Common Factor of 7108 and 7109 by matching factors method

Factors of 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1,2,4,1777,3554,7108

Factors of 7109

List of positive integer factors of 7109 that divides 7109 without a remainder.

1,7109

Greatest Common Factor

We found the factors and prime factorization of 7108 and 7109. The biggest common factor number is the GCF number.
So the greatest common factor 7108 and 7109 is 1.

Also check out the Least Common Multiple of 7108 and 7109

Properties of GCF 7108 and 7109

(i) The GCF of 7108 and 7109 is associative

GCF of 7108 and 7109 = GCF of 7109 and 7108

Related Greatest Common Factor of 7108

Related Greatest Common Factor of 7109

Frequently Asked Questions on GCF of 7108 and 7109

1. What is the GCF of 7108 and 7109?

Answer: GCF of 7108 and 7109 is 1.

2. What are the Factors of 7108?

Answer: Factors of 7108 are 1, 2, 4, 1777, 3554, 7108. There are 6 integers that are factors of 7108. The greatest factor of 7108 is 7108.

3. What are the Factors of 7109?

Answer: Factors of 7109 are 1, 7109. There are 2 integers that are factors of 7109. The greatest factor of 7109 is 7109.

4. How to Find the GCF of 7108 and 7109?

Answer:

Greatest Common Factor of 7108 and 7109 = 1

Step 1: Find the prime factorization of 7108

7108 = 2 x 2 x 1777

Step 2: Find the prime factorization of 7109

7109 = 7109

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 7108 and 7109 is 1