Greatest Common Factor of 4516 and 4524

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 4516, 4524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4516 and 4524 is 4.

GCF(4516,4524) = 4

GCF of 4516 and 4524

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

GCF of:
and

Greatest Common Factor of 4516 and 4524

GCF of 4516 and 4524 is 4

Prime Factorization of 4516


2 4516
2 2258
1129 1129
1

Prime factors of 4516 are 2,1129. Prime factorization of 4516 in exponential form is:

4516 = 22×11291

Prime Factorization of 4524


2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 4524 are 2,3,13,29. Prime factorization of 4524 in exponential form is:

4524 = 22×31×131×291

∴ So by taking common prime factors GCF of 4516 and 4524 is 4

Greatest Common Factor of 4516 and 4524 by matching factors method

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1,2,4,1129,2258,4516

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Greatest Common Factor

We found the factors and prime factorization of 4516 and 4524. The biggest common factor number is the GCF number.
So the greatest common factor 4516 and 4524 is 4.

Also check out the Least Common Multiple of 4516 and 4524

Properties of GCF 4516 and 4524

(i) The GCF of 4516 and 4524 is associative

GCF of 4516 and 4524 = GCF of 4524 and 4516

Related Greatest Common Factor of 4516

Related Greatest Common Factor of 4524

Frequently Asked Questions on GCF of 4516 and 4524

1. What is the GCF of 4516 and 4524?

Answer: GCF of 4516 and 4524 is 4.

2. What are the Factors of 4516?

Answer: Factors of 4516 are 1, 2, 4, 1129, 2258, 4516. There are 6 integers that are factors of 4516. The greatest factor of 4516 is 4516.

3. What are the Factors of 4524?

Answer: Factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524. There are 24 integers that are factors of 4524. The greatest factor of 4524 is 4524.

4. How to Find the GCF of 4516 and 4524?

Answer:

Greatest Common Factor of 4516 and 4524 = 4

Step 1: Find the prime factorization of 4516

4516 = 2 x 2 x 1129

Step 2: Find the prime factorization of 4524

4524 = 2 x 2 x 3 x 13 x 29

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 4516 and 4524 is 4