Greatest Common Factor of 2542 and 2546

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, 2546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2542 and 2546 is 2.

GCF(2542,2546) = 2

GCF of 2542 and 2546

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

GCF of:
and

Greatest Common Factor of 2542 and 2546

GCF of 2542 and 2546 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 2546


2 2546
19 1273
67 67
1

Prime factors of 2546 are 2,19,67. Prime factorization of 2546 in exponential form is:

2546 = 21×191×671

∴ So by taking common prime factors GCF of 2542 and 2546 is 2

Greatest Common Factor of 2542 and 2546 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 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Greatest Common Factor

We found the factors and prime factorization of 2542 and 2546. The biggest common factor number is the GCF number.
So the greatest common factor 2542 and 2546 is 2.

Also check out the Least Common Multiple of 2542 and 2546

Properties of GCF 2542 and 2546

(i) The GCF of 2542 and 2546 is associative

GCF of 2542 and 2546 = GCF of 2546 and 2542

Related Greatest Common Factor of 2542

Related Greatest Common Factor of 2546

Frequently Asked Questions on GCF of 2542 and 2546

1. What is the GCF of 2542 and 2546?

Answer: GCF of 2542 and 2546 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 2546?

Answer: Factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546. There are 8 integers that are factors of 2546. The greatest factor of 2546 is 2546.

4. How to Find the GCF of 2542 and 2546?

Answer:

Greatest Common Factor of 2542 and 2546 = 2

Step 1: Find the prime factorization of 2542

2542 = 2 x 31 x 41

Step 2: Find the prime factorization of 2546

2546 = 2 x 19 x 67

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 2546 is 2