Greatest Common Factor of 8132 and 8138

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, 8138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8132 and 8138 is 2.

GCF(8132,8138) = 2

GCF of 8132 and 8138

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

GCF of:
and

Greatest Common Factor of 8132 and 8138

GCF of 8132 and 8138 is 2

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 8138


2 8138
13 4069
313 313
1

Prime factors of 8138 are 2,13,313. Prime factorization of 8138 in exponential form is:

8138 = 21×131×3131

∴ So by taking common prime factors GCF of 8132 and 8138 is 2

Greatest Common Factor of 8132 and 8138 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 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1,2,13,26,313,626,4069,8138

Greatest Common Factor

We found the factors and prime factorization of 8132 and 8138. The biggest common factor number is the GCF number.
So the greatest common factor 8132 and 8138 is 2.

Also check out the Least Common Multiple of 8132 and 8138

Properties of GCF 8132 and 8138

(i) The GCF of 8132 and 8138 is associative

GCF of 8132 and 8138 = GCF of 8138 and 8132

Related Greatest Common Factor of 8132

Related Greatest Common Factor of 8138

Frequently Asked Questions on GCF of 8132 and 8138

1. What is the GCF of 8132 and 8138?

Answer: GCF of 8132 and 8138 is 2.

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 8138?

Answer: Factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138. There are 8 integers that are factors of 8138. The greatest factor of 8138 is 8138.

4. How to Find the GCF of 8132 and 8138?

Answer:

Greatest Common Factor of 8132 and 8138 = 2

Step 1: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

Step 2: Find the prime factorization of 8138

8138 = 2 x 13 x 313

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8132 and 8138 is 2