Greatest Common Factor of 2534 and 2538

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 2534, 2538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2534 and 2538 is 2.

GCF(2534,2538) = 2

GCF of 2534 and 2538

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

GCF of:
and

Greatest Common Factor of 2534 and 2538

GCF of 2534 and 2538 is 2

Prime Factorization of 2534


2 2534
7 1267
181 181
1

Prime factors of 2534 are 2,7,181. Prime factorization of 2534 in exponential form is:

2534 = 21×71×1811

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

∴ So by taking common prime factors GCF of 2534 and 2538 is 2

Greatest Common Factor of 2534 and 2538 by matching factors method

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

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

Greatest Common Factor

We found the factors and prime factorization of 2534 and 2538. The biggest common factor number is the GCF number.
So the greatest common factor 2534 and 2538 is 2.

Also check out the Least Common Multiple of 2534 and 2538

Properties of GCF 2534 and 2538

(i) The GCF of 2534 and 2538 is associative

GCF of 2534 and 2538 = GCF of 2538 and 2534

Related Greatest Common Factor of 2534

Related Greatest Common Factor of 2538

Frequently Asked Questions on GCF of 2534 and 2538

1. What is the GCF of 2534 and 2538?

Answer: GCF of 2534 and 2538 is 2.

2. What are the Factors of 2534?

Answer: Factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534. There are 8 integers that are factors of 2534. The greatest factor of 2534 is 2534.

3. 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.

4. How to Find the GCF of 2534 and 2538?

Answer:

Greatest Common Factor of 2534 and 2538 = 2

Step 1: Find the prime factorization of 2534

2534 = 2 x 7 x 181

Step 2: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

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 2534 and 2538 is 2