Greatest Common Factor of 5116 and 5124

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 5116, 5124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5116 and 5124 is 4.

GCF(5116,5124) = 4

GCF of 5116 and 5124

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

GCF of:
and

Greatest Common Factor of 5116 and 5124

GCF of 5116 and 5124 is 4

Prime Factorization of 5116


2 5116
2 2558
1279 1279
1

Prime factors of 5116 are 2,1279. Prime factorization of 5116 in exponential form is:

5116 = 22×12791

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

∴ So by taking common prime factors GCF of 5116 and 5124 is 4

Greatest Common Factor of 5116 and 5124 by matching factors method

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

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

Greatest Common Factor

We found the factors and prime factorization of 5116 and 5124. The biggest common factor number is the GCF number.
So the greatest common factor 5116 and 5124 is 4.

Also check out the Least Common Multiple of 5116 and 5124

Properties of GCF 5116 and 5124

(i) The GCF of 5116 and 5124 is associative

GCF of 5116 and 5124 = GCF of 5124 and 5116

Related Greatest Common Factor of 5116

Related Greatest Common Factor of 5124

Frequently Asked Questions on GCF of 5116 and 5124

1. What is the GCF of 5116 and 5124?

Answer: GCF of 5116 and 5124 is 4.

2. What are the Factors of 5116?

Answer: Factors of 5116 are 1, 2, 4, 1279, 2558, 5116. There are 6 integers that are factors of 5116. The greatest factor of 5116 is 5116.

3. 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.

4. How to Find the GCF of 5116 and 5124?

Answer:

Greatest Common Factor of 5116 and 5124 = 4

Step 1: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 2: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5116 and 5124 is 4