Greatest Common Factor of 532 and 540

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

Greatest common factor (GCF) of 532 and 540 is 4.

GCF(532,540) = 4

GCF of 532 and 540

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

GCF of:
and

Greatest Common Factor of 532 and 540

GCF of 532 and 540 is 4

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 540


2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 540 are 2,3,5. Prime factorization of 540 in exponential form is:

540 = 22×33×51

∴ So by taking common prime factors GCF of 532 and 540 is 4

Greatest Common Factor of 532 and 540 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 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors and prime factorization of 532 and 540. The biggest common factor number is the GCF number.
So the greatest common factor 532 and 540 is 4.

Also check out the Least Common Multiple of 532 and 540

Properties of GCF 532 and 540

(i) The GCF of 532 and 540 is associative

GCF of 532 and 540 = GCF of 540 and 532

Related Greatest Common Factor of 532

Related Greatest Common Factor of 540

Frequently Asked Questions on GCF of 532 and 540

1. What is the GCF of 532 and 540?

Answer: GCF of 532 and 540 is 4.

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 540?

Answer: Factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. There are 24 integers that are factors of 540. The greatest factor of 540 is 540.

4. How to Find the GCF of 532 and 540?

Answer:

Greatest Common Factor of 532 and 540 = 4

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 540

540 = 2 x 2 x 3 x 3 x 3 x 5

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 532 and 540 is 4