Greatest Common Factor of 540 and 544

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

Greatest common factor (GCF) of 540 and 544 is 4.

GCF(540,544) = 4

GCF of 540 and 544

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

GCF of:
and

Greatest Common Factor of 540 and 544

GCF of 540 and 544 is 4

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 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

∴ So by taking common prime factors GCF of 540 and 544 is 4

Greatest Common Factor of 540 and 544 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 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors and prime factorization of 540 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 540 and 544 is 4.

Also check out the Least Common Multiple of 540 and 544

Properties of GCF 540 and 544

(i) The GCF of 540 and 544 is associative

GCF of 540 and 544 = GCF of 544 and 540

Related Greatest Common Factor of 540

Related Greatest Common Factor of 544

Frequently Asked Questions on GCF of 540 and 544

1. What is the GCF of 540 and 544?

Answer: GCF of 540 and 544 is 4.

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 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the GCF of 540 and 544?

Answer:

Greatest Common Factor of 540 and 544 = 4

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 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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 540 and 544 is 4