Greatest Common Factor of 524 and 532

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 524, 532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 524 and 532 is 4.

GCF(524,532) = 4

GCF of 524 and 532

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

GCF of:
and

Greatest Common Factor of 524 and 532

GCF of 524 and 532 is 4

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

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2,7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

∴ So by taking common prime factors GCF of 524 and 532 is 4

Greatest Common Factor of 524 and 532 by matching factors method

Factors of 524

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

1,2,4,131,262,524

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors and prime factorization of 524 and 532. The biggest common factor number is the GCF number.
So the greatest common factor 524 and 532 is 4.

Also check out the Least Common Multiple of 524 and 532

Properties of GCF 524 and 532

(i) The GCF of 524 and 532 is associative

GCF of 524 and 532 = GCF of 532 and 524

Related Greatest Common Factor of 524

Related Greatest Common Factor of 532

Frequently Asked Questions on GCF of 524 and 532

1. What is the GCF of 524 and 532?

Answer: GCF of 524 and 532 is 4.

2. 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.

3. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

4. How to Find the GCF of 524 and 532?

Answer:

Greatest Common Factor of 524 and 532 = 4

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

Step 2: Find the prime factorization of 532

532 = 2 x 2 x 7 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 524 and 532 is 4