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, 2545 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2538 and 2545 is 1.
GCF(2538,2545) = 1
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 2545
5 | 2545 |
509 | 509 |
1 |
Prime factors of 2545 are 5,509. Prime factorization of 2545 in exponential form is:
2545 = 51×5091
∴ So by taking common prime factors GCF of 2538 and 2545 is 1
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 2545
List of positive integer factors of 2545 that divides 2545 without a remainder.
1,5,509,2545
Greatest Common Factor
We found the factors and prime factorization of 2538 and 2545. The biggest common factor number is the GCF number.
So the greatest common factor 2538 and 2545 is 1.
Also check out the Least Common Multiple of 2538 and 2545
(i) The GCF of 2538 and 2545 is associative
GCF of 2538 and 2545 = GCF of 2545 and 2538
1. What is the GCF of 2538 and 2545?
Answer: GCF of 2538 and 2545 is 1.
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 2545?
Answer: Factors of 2545 are 1, 5, 509, 2545. There are 4 integers that are factors of 2545. The greatest factor of 2545 is 2545.
4. How to Find the GCF of 2538 and 2545?
Answer:
Greatest Common Factor of 2538 and 2545 = 1
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 2545
2545 = 5 x 509
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 2538 and 2545 is 1