Greatest Common Factor of 5124 and 5131

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 5124, 5131 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5124 and 5131 is 7.

GCF(5124,5131) = 7

GCF of 5124 and 5131

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

GCF of:
and

Greatest Common Factor of 5124 and 5131

GCF of 5124 and 5131 is 7

Prime Factorization of 5124


2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 5124 are 2,3,7,61. Prime factorization of 5124 in exponential form is:

5124 = 22×31×71×611

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

∴ So by taking common prime factors GCF of 5124 and 5131 is 7

Greatest Common Factor of 5124 and 5131 by matching factors method

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Factors of 5131

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

1,7,733,5131

Greatest Common Factor

We found the factors and prime factorization of 5124 and 5131. The biggest common factor number is the GCF number.
So the greatest common factor 5124 and 5131 is 7.

Also check out the Least Common Multiple of 5124 and 5131

Properties of GCF 5124 and 5131

(i) The GCF of 5124 and 5131 is associative

GCF of 5124 and 5131 = GCF of 5131 and 5124

Related Greatest Common Factor of 5124

Related Greatest Common Factor of 5131

Frequently Asked Questions on GCF of 5124 and 5131

1. What is the GCF of 5124 and 5131?

Answer: GCF of 5124 and 5131 is 7.

2. What are the Factors of 5124?

Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.

3. 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.

4. How to Find the GCF of 5124 and 5131?

Answer:

Greatest Common Factor of 5124 and 5131 = 7

Step 1: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 5131

5131 = 7 x 733

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 5124 and 5131 is 7