Greatest Common Factor of 540 and 542

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

Greatest common factor (GCF) of 540 and 542 is 2.

GCF(540,542) = 2

GCF of 540 and 542

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

GCF of:
and

Greatest Common Factor of 540 and 542

GCF of 540 and 542 is 2

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 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

∴ So by taking common prime factors GCF of 540 and 542 is 2

Greatest Common Factor of 540 and 542 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 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors and prime factorization of 540 and 542. The biggest common factor number is the GCF number.
So the greatest common factor 540 and 542 is 2.

Also check out the Least Common Multiple of 540 and 542

Properties of GCF 540 and 542

(i) The GCF of 540 and 542 is associative

GCF of 540 and 542 = GCF of 542 and 540

Related Greatest Common Factor of 540

Related Greatest Common Factor of 542

Frequently Asked Questions on GCF of 540 and 542

1. What is the GCF of 540 and 542?

Answer: GCF of 540 and 542 is 2.

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 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

4. How to Find the GCF of 540 and 542?

Answer:

Greatest Common Factor of 540 and 542 = 2

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 542

542 = 2 x 271

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 540 and 542 is 2