Greatest Common Factor of 2542 and 2549

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, 2549 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2542 and 2549 is 1.

GCF(2542,2549) = 1

GCF of 2542 and 2549

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

GCF of:
and

Greatest Common Factor of 2542 and 2549

GCF of 2542 and 2549 is 1

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 2549


2549 2549
1

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

∴ So by taking common prime factors GCF of 2542 and 2549 is 1

Greatest Common Factor of 2542 and 2549 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 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

1,2549

Greatest Common Factor

We found the factors and prime factorization of 2542 and 2549. The biggest common factor number is the GCF number.
So the greatest common factor 2542 and 2549 is 1.

Also check out the Least Common Multiple of 2542 and 2549

Properties of GCF 2542 and 2549

(i) The GCF of 2542 and 2549 is associative

GCF of 2542 and 2549 = GCF of 2549 and 2542

Related Greatest Common Factor of 2542

Related Greatest Common Factor of 2549

Frequently Asked Questions on GCF of 2542 and 2549

1. What is the GCF of 2542 and 2549?

Answer: GCF of 2542 and 2549 is 1.

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 2549?

Answer: Factors of 2549 are 1, 2549. There are 2 integers that are factors of 2549. The greatest factor of 2549 is 2549.

4. How to Find the GCF of 2542 and 2549?

Answer:

Greatest Common Factor of 2542 and 2549 = 1

Step 1: Find the prime factorization of 2542

2542 = 2 x 31 x 41

Step 2: Find the prime factorization of 2549

2549 = 2549

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 2542 and 2549 is 1