Greatest Common Factor of 8132 and 8139

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 8132, 8139 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8132 and 8139 is 1.

GCF(8132,8139) = 1

GCF of 8132 and 8139

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

GCF of:
and

Greatest Common Factor of 8132 and 8139

GCF of 8132 and 8139 is 1

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

Prime Factorization of 8139


3 8139
2713 2713
1

Prime factors of 8139 are 3,2713. Prime factorization of 8139 in exponential form is:

8139 = 31×27131

∴ So by taking common prime factors GCF of 8132 and 8139 is 1

Greatest Common Factor of 8132 and 8139 by matching factors method

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

Factors of 8139

List of positive integer factors of 8139 that divides 8139 without a remainder.

1,3,2713,8139

Greatest Common Factor

We found the factors and prime factorization of 8132 and 8139. The biggest common factor number is the GCF number.
So the greatest common factor 8132 and 8139 is 1.

Also check out the Least Common Multiple of 8132 and 8139

Properties of GCF 8132 and 8139

(i) The GCF of 8132 and 8139 is associative

GCF of 8132 and 8139 = GCF of 8139 and 8132

Related Greatest Common Factor of 8132

Related Greatest Common Factor of 8139

Frequently Asked Questions on GCF of 8132 and 8139

1. What is the GCF of 8132 and 8139?

Answer: GCF of 8132 and 8139 is 1.

2. 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.

3. What are the Factors of 8139?

Answer: Factors of 8139 are 1, 3, 2713, 8139. There are 4 integers that are factors of 8139. The greatest factor of 8139 is 8139.

4. How to Find the GCF of 8132 and 8139?

Answer:

Greatest Common Factor of 8132 and 8139 = 1

Step 1: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

Step 2: Find the prime factorization of 8139

8139 = 3 x 2713

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 8132 and 8139 is 1