Greatest Common Factor of 532 and 538

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 532, 538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 532 and 538 is 2.

GCF(532,538) = 2

GCF of 532 and 538

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

GCF of:
and

Greatest Common Factor of 532 and 538

GCF of 532 and 538 is 2

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

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

∴ So by taking common prime factors GCF of 532 and 538 is 2

Greatest Common Factor of 532 and 538 by matching factors method

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

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors and prime factorization of 532 and 538. The biggest common factor number is the GCF number.
So the greatest common factor 532 and 538 is 2.

Also check out the Least Common Multiple of 532 and 538

Properties of GCF 532 and 538

(i) The GCF of 532 and 538 is associative

GCF of 532 and 538 = GCF of 538 and 532

Related Greatest Common Factor of 532

Related Greatest Common Factor of 538

Frequently Asked Questions on GCF of 532 and 538

1. What is the GCF of 532 and 538?

Answer: GCF of 532 and 538 is 2.

2. 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.

3. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

4. How to Find the GCF of 532 and 538?

Answer:

Greatest Common Factor of 532 and 538 = 2

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 538

538 = 2 x 269

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 532 and 538 is 2