Greatest Common Factor of 2542 and 2548

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 2542, 2548 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2542 and 2548 is 2.

GCF(2542,2548) = 2

GCF of 2542 and 2548

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

GCF of:
and

Greatest Common Factor of 2542 and 2548

GCF of 2542 and 2548 is 2

Prime Factorization of 2542


2 2542
31 1271
41 41
1

Prime factors of 2542 are 2,31,41. Prime factorization of 2542 in exponential form is:

2542 = 21×311×411

Prime Factorization of 2548


2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 2548 are 2,7,13. Prime factorization of 2548 in exponential form is:

2548 = 22×72×131

∴ So by taking common prime factors GCF of 2542 and 2548 is 2

Greatest Common Factor of 2542 and 2548 by matching factors method

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1,2,31,41,62,82,1271,2542

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Greatest Common Factor

We found the factors and prime factorization of 2542 and 2548. The biggest common factor number is the GCF number.
So the greatest common factor 2542 and 2548 is 2.

Also check out the Least Common Multiple of 2542 and 2548

Properties of GCF 2542 and 2548

(i) The GCF of 2542 and 2548 is associative

GCF of 2542 and 2548 = GCF of 2548 and 2542

Related Greatest Common Factor of 2542

Related Greatest Common Factor of 2548

Frequently Asked Questions on GCF of 2542 and 2548

1. What is the GCF of 2542 and 2548?

Answer: GCF of 2542 and 2548 is 2.

2. What are the Factors of 2542?

Answer: Factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542. There are 8 integers that are factors of 2542. The greatest factor of 2542 is 2542.

3. What are the Factors of 2548?

Answer: Factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548. There are 18 integers that are factors of 2548. The greatest factor of 2548 is 2548.

4. How to Find the GCF of 2542 and 2548?

Answer:

Greatest Common Factor of 2542 and 2548 = 2

Step 1: Find the prime factorization of 2542

2542 = 2 x 31 x 41

Step 2: Find the prime factorization of 2548

2548 = 2 x 2 x 7 x 7 x 13

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 2542 and 2548 is 2