Greatest Common Factor of 8135 and 8142

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, 8142 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8135 and 8142 is 1.

GCF(8135,8142) = 1

GCF of 8135 and 8142

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

GCF of:
and

Greatest Common Factor of 8135 and 8142

GCF of 8135 and 8142 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 8142


2 8142
3 4071
23 1357
59 59
1

Prime factors of 8142 are 2,3,23,59. Prime factorization of 8142 in exponential form is:

8142 = 21×31×231×591

∴ So by taking common prime factors GCF of 8135 and 8142 is 1

Greatest Common Factor of 8135 and 8142 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 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors and prime factorization of 8135 and 8142. The biggest common factor number is the GCF number.
So the greatest common factor 8135 and 8142 is 1.

Also check out the Least Common Multiple of 8135 and 8142

Properties of GCF 8135 and 8142

(i) The GCF of 8135 and 8142 is associative

GCF of 8135 and 8142 = GCF of 8142 and 8135

Related Greatest Common Factor of 8135

Related Greatest Common Factor of 8142

Frequently Asked Questions on GCF of 8135 and 8142

1. What is the GCF of 8135 and 8142?

Answer: GCF of 8135 and 8142 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 8142?

Answer: Factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142. There are 16 integers that are factors of 8142. The greatest factor of 8142 is 8142.

4. How to Find the GCF of 8135 and 8142?

Answer:

Greatest Common Factor of 8135 and 8142 = 1

Step 1: Find the prime factorization of 8135

8135 = 5 x 1627

Step 2: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

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 8142 is 1