Greatest Common Factor of 516 and 524

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 516, 524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 516 and 524 is 4.

GCF(516,524) = 4

GCF of 516 and 524

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

GCF of:
and

Greatest Common Factor of 516 and 524

GCF of 516 and 524 is 4

Prime Factorization of 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2,3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

∴ So by taking common prime factors GCF of 516 and 524 is 4

Greatest Common Factor of 516 and 524 by matching factors method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors and prime factorization of 516 and 524. The biggest common factor number is the GCF number.
So the greatest common factor 516 and 524 is 4.

Also check out the Least Common Multiple of 516 and 524

Properties of GCF 516 and 524

(i) The GCF of 516 and 524 is associative

GCF of 516 and 524 = GCF of 524 and 516

Related Greatest Common Factor of 516

Related Greatest Common Factor of 524

Frequently Asked Questions on GCF of 516 and 524

1. What is the GCF of 516 and 524?

Answer: GCF of 516 and 524 is 4.

2. What are the Factors of 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

3. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the GCF of 516 and 524?

Answer:

Greatest Common Factor of 516 and 524 = 4

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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 516 and 524 is 4