Greatest Common Factor of 5131 and 5138

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 5131, 5138 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5131 and 5138 is 7.

GCF(5131,5138) = 7

GCF of 5131 and 5138

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

GCF of:
and

Greatest Common Factor of 5131 and 5138

GCF of 5131 and 5138 is 7

Prime Factorization of 5131


7 5131
733 733
1

Prime factors of 5131 are 7,733. Prime factorization of 5131 in exponential form is:

5131 = 71×7331

Prime Factorization of 5138


2 5138
7 2569
367 367
1

Prime factors of 5138 are 2,7,367. Prime factorization of 5138 in exponential form is:

5138 = 21×71×3671

∴ So by taking common prime factors GCF of 5131 and 5138 is 7

Greatest Common Factor of 5131 and 5138 by matching factors method

Factors of 5131

List of positive integer factors of 5131 that divides 5131 without a remainder.

1,7,733,5131

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors and prime factorization of 5131 and 5138. The biggest common factor number is the GCF number.
So the greatest common factor 5131 and 5138 is 7.

Also check out the Least Common Multiple of 5131 and 5138

Properties of GCF 5131 and 5138

(i) The GCF of 5131 and 5138 is associative

GCF of 5131 and 5138 = GCF of 5138 and 5131

Related Greatest Common Factor of 5131

Related Greatest Common Factor of 5138

Frequently Asked Questions on GCF of 5131 and 5138

1. What is the GCF of 5131 and 5138?

Answer: GCF of 5131 and 5138 is 7.

2. What are the Factors of 5131?

Answer: Factors of 5131 are 1, 7, 733, 5131. There are 4 integers that are factors of 5131. The greatest factor of 5131 is 5131.

3. What are the Factors of 5138?

Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.

4. How to Find the GCF of 5131 and 5138?

Answer:

Greatest Common Factor of 5131 and 5138 = 7

Step 1: Find the prime factorization of 5131

5131 = 7 x 733

Step 2: Find the prime factorization of 5138

5138 = 2 x 7 x 367

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5131 and 5138 is 7