Greatest Common Factor of 8131 and 8134

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, 8134 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8131 and 8134 is 1.

GCF(8131,8134) = 1

GCF of 8131 and 8134

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

GCF of:
and

Greatest Common Factor of 8131 and 8134

GCF of 8131 and 8134 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 8134


2 8134
7 4067
7 581
83 83
1

Prime factors of 8134 are 2,7,83. Prime factorization of 8134 in exponential form is:

8134 = 21×72×831

∴ So by taking common prime factors GCF of 8131 and 8134 is 1

Greatest Common Factor of 8131 and 8134 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 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors and prime factorization of 8131 and 8134. The biggest common factor number is the GCF number.
So the greatest common factor 8131 and 8134 is 1.

Also check out the Least Common Multiple of 8131 and 8134

Properties of GCF 8131 and 8134

(i) The GCF of 8131 and 8134 is associative

GCF of 8131 and 8134 = GCF of 8134 and 8131

Related Greatest Common Factor of 8131

Related Greatest Common Factor of 8134

Frequently Asked Questions on GCF of 8131 and 8134

1. What is the GCF of 8131 and 8134?

Answer: GCF of 8131 and 8134 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 8134?

Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.

4. How to Find the GCF of 8131 and 8134?

Answer:

Greatest Common Factor of 8131 and 8134 = 1

Step 1: Find the prime factorization of 8131

8131 = 47 x 173

Step 2: Find the prime factorization of 8134

8134 = 2 x 7 x 7 x 83

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 8134 is 1