Greatest Common Factor of 538 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 538, 543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 538 and 543 is 1.

GCF(538,543) = 1

GCF of 538 and 543

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

GCF of:
and

Greatest Common Factor of 538 and 543

GCF of 538 and 543 is 1

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 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 538 and 543 is 1

Greatest Common Factor of 538 and 543 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 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 538 and 543. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 543 is 1.

Also check out the Least Common Multiple of 538 and 543

Properties of GCF 538 and 543

(i) The GCF of 538 and 543 is associative

GCF of 538 and 543 = GCF of 543 and 538

Related Greatest Common Factor of 538

Related Greatest Common Factor of 543

Frequently Asked Questions on GCF of 538 and 543

1. What is the GCF of 538 and 543?

Answer: GCF of 538 and 543 is 1.

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 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 538 and 543?

Answer:

Greatest Common Factor of 538 and 543 = 1

Step 1: Find the prime factorization of 538

538 = 2 x 269

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 = = 1

Step 4: Therefore, the greatest common factor of 538 and 543 is 1