Greatest Common Factor of 2534 and 2541

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, 2541 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2534 and 2541 is 7.

GCF(2534,2541) = 7

GCF of 2534 and 2541

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

GCF of:
and

Greatest Common Factor of 2534 and 2541

GCF of 2534 and 2541 is 7

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 2541


3 2541
7 847
11 121
11 11
1

Prime factors of 2541 are 3,7,11. Prime factorization of 2541 in exponential form is:

2541 = 31×71×112

∴ So by taking common prime factors GCF of 2534 and 2541 is 7

Greatest Common Factor of 2534 and 2541 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 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1,3,7,11,21,33,77,121,231,363,847,2541

Greatest Common Factor

We found the factors and prime factorization of 2534 and 2541. The biggest common factor number is the GCF number.
So the greatest common factor 2534 and 2541 is 7.

Also check out the Least Common Multiple of 2534 and 2541

Properties of GCF 2534 and 2541

(i) The GCF of 2534 and 2541 is associative

GCF of 2534 and 2541 = GCF of 2541 and 2534

Related Greatest Common Factor of 2534

Related Greatest Common Factor of 2541

Frequently Asked Questions on GCF of 2534 and 2541

1. What is the GCF of 2534 and 2541?

Answer: GCF of 2534 and 2541 is 7.

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 2541?

Answer: Factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541. There are 12 integers that are factors of 2541. The greatest factor of 2541 is 2541.

4. How to Find the GCF of 2534 and 2541?

Answer:

Greatest Common Factor of 2534 and 2541 = 7

Step 1: Find the prime factorization of 2534

2534 = 2 x 7 x 181

Step 2: Find the prime factorization of 2541

2541 = 3 x 7 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 2534 and 2541 is 7