Greatest Common Factor of 2538 and 2543

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 2538, 2543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2538 and 2543 is 1.

GCF(2538,2543) = 1

GCF of 2538 and 2543

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

GCF of:
and

Greatest Common Factor of 2538 and 2543

GCF of 2538 and 2543 is 1

Prime Factorization of 2538


2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 2538 are 2,3,47. Prime factorization of 2538 in exponential form is:

2538 = 21×33×471

Prime Factorization of 2543


2543 2543
1

Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:

2543 = 25431

∴ So by taking common prime factors GCF of 2538 and 2543 is 1

Greatest Common Factor of 2538 and 2543 by matching factors method

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538

Factors of 2543

List of positive integer factors of 2543 that divides 2543 without a remainder.

1,2543

Greatest Common Factor

We found the factors and prime factorization of 2538 and 2543. The biggest common factor number is the GCF number.
So the greatest common factor 2538 and 2543 is 1.

Also check out the Least Common Multiple of 2538 and 2543

Properties of GCF 2538 and 2543

(i) The GCF of 2538 and 2543 is associative

GCF of 2538 and 2543 = GCF of 2543 and 2538

Related Greatest Common Factor of 2538

Related Greatest Common Factor of 2543

Frequently Asked Questions on GCF of 2538 and 2543

1. What is the GCF of 2538 and 2543?

Answer: GCF of 2538 and 2543 is 1.

2. What are the Factors of 2538?

Answer: Factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538. There are 16 integers that are factors of 2538. The greatest factor of 2538 is 2538.

3. What are the Factors of 2543?

Answer: Factors of 2543 are 1, 2543. There are 2 integers that are factors of 2543. The greatest factor of 2543 is 2543.

4. How to Find the GCF of 2538 and 2543?

Answer:

Greatest Common Factor of 2538 and 2543 = 1

Step 1: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 2543

2543 = 2543

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 2538 and 2543 is 1