Greatest Common Factor of 8135 and 8137

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 8135, 8137 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8135 and 8137 is 1.

GCF(8135,8137) = 1

GCF of 8135 and 8137

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

GCF of:
and

Greatest Common Factor of 8135 and 8137

GCF of 8135 and 8137 is 1

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

Prime Factorization of 8137


79 8137
103 103
1

Prime factors of 8137 are 79,103. Prime factorization of 8137 in exponential form is:

8137 = 791×1031

∴ So by taking common prime factors GCF of 8135 and 8137 is 1

Greatest Common Factor of 8135 and 8137 by matching factors method

Factors of 8135

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

1,5,1627,8135

Factors of 8137

List of positive integer factors of 8137 that divides 8137 without a remainder.

1,79,103,8137

Greatest Common Factor

We found the factors and prime factorization of 8135 and 8137. The biggest common factor number is the GCF number.
So the greatest common factor 8135 and 8137 is 1.

Also check out the Least Common Multiple of 8135 and 8137

Properties of GCF 8135 and 8137

(i) The GCF of 8135 and 8137 is associative

GCF of 8135 and 8137 = GCF of 8137 and 8135

Frequently Asked Questions on GCF of 8135 and 8137

1. What is the GCF of 8135 and 8137?

Answer: GCF of 8135 and 8137 is 1.

2. 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.

3. What are the Factors of 8137?

Answer: Factors of 8137 are 1, 79, 103, 8137. There are 4 integers that are factors of 8137. The greatest factor of 8137 is 8137.

4. How to Find the GCF of 8135 and 8137?

Answer:

Greatest Common Factor of 8135 and 8137 = 1

Step 1: Find the prime factorization of 8135

8135 = 5 x 1627

Step 2: Find the prime factorization of 8137

8137 = 79 x 103

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 8135 and 8137 is 1