Greatest Common Factor of 538 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 538, 544 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 538 and 544 is 2.

GCF(538,544) = 2

GCF of 538 and 544

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

GCF of:
and

Greatest Common Factor of 538 and 544

GCF of 538 and 544 is 2

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

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 538 and 544 is 2

Greatest Common Factor of 538 and 544 by matching factors method

Factors of 538

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

1,2,269,538

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 538 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 544 is 2.

Also check out the Least Common Multiple of 538 and 544

Properties of GCF 538 and 544

(i) The GCF of 538 and 544 is associative

GCF of 538 and 544 = GCF of 544 and 538

Related Greatest Common Factor of 538

Related Greatest Common Factor of 544

Frequently Asked Questions on GCF of 538 and 544

1. What is the GCF of 538 and 544?

Answer: GCF of 538 and 544 is 2.

2. 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.

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 538 and 544?

Answer:

Greatest Common Factor of 538 and 544 = 2

Step 1: Find the prime factorization of 538

538 = 2 x 269

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

Step 4: Therefore, the greatest common factor of 538 and 544 is 2