Greatest Common Factor of 8131 and 8135

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 8131, 8135 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8131 and 8135 is 1.

GCF(8131,8135) = 1

GCF of 8131 and 8135

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

GCF of:
and

Greatest Common Factor of 8131 and 8135

GCF of 8131 and 8135 is 1

Prime Factorization of 8131


47 8131
173 173
1

Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:

8131 = 471×1731

Prime Factorization of 8135


5 8135
1627 1627
1

Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:

8135 = 51×16271

∴ So by taking common prime factors GCF of 8131 and 8135 is 1

Greatest Common Factor of 8131 and 8135 by matching factors method

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1,47,173,8131

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Greatest Common Factor

We found the factors and prime factorization of 8131 and 8135. The biggest common factor number is the GCF number.
So the greatest common factor 8131 and 8135 is 1.

Also check out the Least Common Multiple of 8131 and 8135

Properties of GCF 8131 and 8135

(i) The GCF of 8131 and 8135 is associative

GCF of 8131 and 8135 = GCF of 8135 and 8131

Related Greatest Common Factor of 8131

Related Greatest Common Factor of 8135

Frequently Asked Questions on GCF of 8131 and 8135

1. What is the GCF of 8131 and 8135?

Answer: GCF of 8131 and 8135 is 1.

2. What are the Factors of 8131?

Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.

3. What are the Factors of 8135?

Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.

4. How to Find the GCF of 8131 and 8135?

Answer:

Greatest Common Factor of 8131 and 8135 = 1

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8135

8135 = 5 x 1627

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 8131 and 8135 is 1