Greatest Common Factor of 7116 and 7124

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 7116, 7124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7116 and 7124 is 4.

GCF(7116,7124) = 4

GCF of 7116 and 7124

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

GCF of:
and

Greatest Common Factor of 7116 and 7124

GCF of 7116 and 7124 is 4

Prime Factorization of 7116


2 7116
2 3558
3 1779
593 593
1

Prime factors of 7116 are 2,3,593. Prime factorization of 7116 in exponential form is:

7116 = 22×31×5931

Prime Factorization of 7124


2 7124
2 3562
13 1781
137 137
1

Prime factors of 7124 are 2,13,137. Prime factorization of 7124 in exponential form is:

7124 = 22×131×1371

∴ So by taking common prime factors GCF of 7116 and 7124 is 4

Greatest Common Factor of 7116 and 7124 by matching factors method

Factors of 7116

List of positive integer factors of 7116 that divides 7116 without a remainder.

1,2,3,4,6,12,593,1186,1779,2372,3558,7116

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Greatest Common Factor

We found the factors and prime factorization of 7116 and 7124. The biggest common factor number is the GCF number.
So the greatest common factor 7116 and 7124 is 4.

Also check out the Least Common Multiple of 7116 and 7124

Properties of GCF 7116 and 7124

(i) The GCF of 7116 and 7124 is associative

GCF of 7116 and 7124 = GCF of 7124 and 7116

Related Greatest Common Factor of 7116

Related Greatest Common Factor of 7124

Frequently Asked Questions on GCF of 7116 and 7124

1. What is the GCF of 7116 and 7124?

Answer: GCF of 7116 and 7124 is 4.

2. What are the Factors of 7116?

Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.

3. What are the Factors of 7124?

Answer: Factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124. There are 12 integers that are factors of 7124. The greatest factor of 7124 is 7124.

4. How to Find the GCF of 7116 and 7124?

Answer:

Greatest Common Factor of 7116 and 7124 = 4

Step 1: Find the prime factorization of 7116

7116 = 2 x 2 x 3 x 593

Step 2: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

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 7116 and 7124 is 4