Greatest Common Factor of 8131 and 8132

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, 8132 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8131 and 8132 is 1.

GCF(8131,8132) = 1

GCF of 8131 and 8132

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

GCF of:
and

Greatest Common Factor of 8131 and 8132

GCF of 8131 and 8132 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 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2,19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

∴ So by taking common prime factors GCF of 8131 and 8132 is 1

Greatest Common Factor of 8131 and 8132 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 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1,2,4,19,38,76,107,214,428,2033,4066,8132

Greatest Common Factor

We found the factors and prime factorization of 8131 and 8132. The biggest common factor number is the GCF number.
So the greatest common factor 8131 and 8132 is 1.

Also check out the Least Common Multiple of 8131 and 8132

Properties of GCF 8131 and 8132

(i) The GCF of 8131 and 8132 is associative

GCF of 8131 and 8132 = GCF of 8132 and 8131

Related Greatest Common Factor of 8131

Related Greatest Common Factor of 8132

Frequently Asked Questions on GCF of 8131 and 8132

1. What is the GCF of 8131 and 8132?

Answer: GCF of 8131 and 8132 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 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the GCF of 8131 and 8132?

Answer:

Greatest Common Factor of 8131 and 8132 = 1

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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 8132 is 1