Greatest Common Factor of 7516 and 7524

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 7516, 7524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7516 and 7524 is 4.

GCF(7516,7524) = 4

GCF of 7516 and 7524

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

GCF of:
and

Greatest Common Factor of 7516 and 7524

GCF of 7516 and 7524 is 4

Prime Factorization of 7516


2 7516
2 3758
1879 1879
1

Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:

7516 = 22×18791

Prime Factorization of 7524


2 7524
2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 7524 are 2,3,11,19. Prime factorization of 7524 in exponential form is:

7524 = 22×32×111×191

∴ So by taking common prime factors GCF of 7516 and 7524 is 4

Greatest Common Factor of 7516 and 7524 by matching factors method

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1,2,4,1879,3758,7516

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Greatest Common Factor

We found the factors and prime factorization of 7516 and 7524. The biggest common factor number is the GCF number.
So the greatest common factor 7516 and 7524 is 4.

Also check out the Least Common Multiple of 7516 and 7524

Properties of GCF 7516 and 7524

(i) The GCF of 7516 and 7524 is associative

GCF of 7516 and 7524 = GCF of 7524 and 7516

Related Greatest Common Factor of 7516

Related Greatest Common Factor of 7524

Frequently Asked Questions on GCF of 7516 and 7524

1. What is the GCF of 7516 and 7524?

Answer: GCF of 7516 and 7524 is 4.

2. What are the Factors of 7516?

Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.

3. What are the Factors of 7524?

Answer: Factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524. There are 36 integers that are factors of 7524. The greatest factor of 7524 is 7524.

4. How to Find the GCF of 7516 and 7524?

Answer:

Greatest Common Factor of 7516 and 7524 = 4

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

Step 2: Find the prime factorization of 7524

7524 = 2 x 2 x 3 x 3 x 11 x 19

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 7516 and 7524 is 4