Greatest Common Factor of 2538 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 2538, 2546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2538 and 2546 is 2.

GCF(2538,2546) = 2

GCF of 2538 and 2546

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

GCF of:
and

Greatest Common Factor of 2538 and 2546

GCF of 2538 and 2546 is 2

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

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 2538 and 2546 is 2

Greatest Common Factor of 2538 and 2546 by matching factors method

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

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 2538 and 2546. The biggest common factor number is the GCF number.
So the greatest common factor 2538 and 2546 is 2.

Also check out the Least Common Multiple of 2538 and 2546

Properties of GCF 2538 and 2546

(i) The GCF of 2538 and 2546 is associative

GCF of 2538 and 2546 = GCF of 2546 and 2538

Related Greatest Common Factor of 2538

Related Greatest Common Factor of 2546

Frequently Asked Questions on GCF of 2538 and 2546

1. What is the GCF of 2538 and 2546?

Answer: GCF of 2538 and 2546 is 2.

2. 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.

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 2538 and 2546?

Answer:

Greatest Common Factor of 2538 and 2546 = 2

Step 1: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

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 2538 and 2546 is 2