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, 2542 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2538 and 2542 is 2.
GCF(2538,2542) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 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
∴ So by taking common prime factors GCF of 2538 and 2542 is 2
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 2542
List of positive integer factors of 2542 that divides 2542 without a remainder.
1,2,31,41,62,82,1271,2542
Greatest Common Factor
We found the factors and prime factorization of 2538 and 2542. The biggest common factor number is the GCF number.
So the greatest common factor 2538 and 2542 is 2.
Also check out the Least Common Multiple of 2538 and 2542
(i) The GCF of 2538 and 2542 is associative
GCF of 2538 and 2542 = GCF of 2542 and 2538
1. What is the GCF of 2538 and 2542?
Answer: GCF of 2538 and 2542 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 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.
4. How to Find the GCF of 2538 and 2542?
Answer:
Greatest Common Factor of 2538 and 2542 = 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 2542
2542 = 2 x 31 x 41
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 2542 is 2