Greatest Common Factor of 540 and 543

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 540, 543 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 540 and 543 is 3.

GCF(540,543) = 3

GCF of 540 and 543

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

GCF of:
and

Greatest Common Factor of 540 and 543

GCF of 540 and 543 is 3

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

Prime Factorization of 543


3 543
181 181
1

Prime factors of 543 are 3,181. Prime factorization of 543 in exponential form is:

543 = 31×1811

∴ So by taking common prime factors GCF of 540 and 543 is 3

Greatest Common Factor of 540 and 543 by matching factors method

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

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors and prime factorization of 540 and 543. The biggest common factor number is the GCF number.
So the greatest common factor 540 and 543 is 3.

Also check out the Least Common Multiple of 540 and 543

Properties of GCF 540 and 543

(i) The GCF of 540 and 543 is associative

GCF of 540 and 543 = GCF of 543 and 540

Related Greatest Common Factor of 540

Related Greatest Common Factor of 543

Frequently Asked Questions on GCF of 540 and 543

1. What is the GCF of 540 and 543?

Answer: GCF of 540 and 543 is 3.

2. 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.

3. What are the Factors of 543?

Answer: Factors of 543 are 1, 3, 181, 543. There are 4 integers that are factors of 543. The greatest factor of 543 is 543.

4. How to Find the GCF of 540 and 543?

Answer:

Greatest Common Factor of 540 and 543 = 3

Step 1: Find the prime factorization of 540

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

Step 2: Find the prime factorization of 543

543 = 3 x 181

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

GCF = 3

Step 4: Therefore, the greatest common factor of 540 and 543 is 3