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 2535, 2541 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2535 and 2541 is 3.
GCF(2535,2541) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2535
3 | 2535 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 2535 are 3,5,13. Prime factorization of 2535 in exponential form is:
2535 = 31×51×132
Prime Factorization of 2541
3 | 2541 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 2541 are 3,7,11. Prime factorization of 2541 in exponential form is:
2541 = 31×71×112
∴ So by taking common prime factors GCF of 2535 and 2541 is 3
Factors of 2535
List of positive integer factors of 2535 that divides 2535 without a remainder.
1,3,5,13,15,39,65,169,195,507,845,2535
Factors of 2541
List of positive integer factors of 2541 that divides 2541 without a remainder.
1,3,7,11,21,33,77,121,231,363,847,2541
Greatest Common Factor
We found the factors and prime factorization of 2535 and 2541. The biggest common factor number is the GCF number.
So the greatest common factor 2535 and 2541 is 3.
Also check out the Least Common Multiple of 2535 and 2541
(i) The GCF of 2535 and 2541 is associative
GCF of 2535 and 2541 = GCF of 2541 and 2535
1. What is the GCF of 2535 and 2541?
Answer: GCF of 2535 and 2541 is 3.
2. What are the Factors of 2535?
Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.
3. What are the Factors of 2541?
Answer: Factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541. There are 12 integers that are factors of 2541. The greatest factor of 2541 is 2541.
4. How to Find the GCF of 2535 and 2541?
Answer:
Greatest Common Factor of 2535 and 2541 = 3
Step 1: Find the prime factorization of 2535
2535 = 3 x 5 x 13 x 13
Step 2: Find the prime factorization of 2541
2541 = 3 x 7 x 11 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2535 and 2541 is 3