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 2530, 2535 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2530 and 2535 is 5.
GCF(2530,2535) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2530
2 | 2530 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 2530 are 2,5,11,23. Prime factorization of 2530 in exponential form is:
2530 = 21×51×111×231
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
∴ So by taking common prime factors GCF of 2530 and 2535 is 5
Factors of 2530
List of positive integer factors of 2530 that divides 2530 without a remainder.
1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530
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
Greatest Common Factor
We found the factors and prime factorization of 2530 and 2535. The biggest common factor number is the GCF number.
So the greatest common factor 2530 and 2535 is 5.
Also check out the Least Common Multiple of 2530 and 2535
(i) The GCF of 2530 and 2535 is associative
GCF of 2530 and 2535 = GCF of 2535 and 2530
1. What is the GCF of 2530 and 2535?
Answer: GCF of 2530 and 2535 is 5.
2. What are the Factors of 2530?
Answer: Factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530. There are 16 integers that are factors of 2530. The greatest factor of 2530 is 2530.
3. 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.
4. How to Find the GCF of 2530 and 2535?
Answer:
Greatest Common Factor of 2530 and 2535 = 5
Step 1: Find the prime factorization of 2530
2530 = 2 x 5 x 11 x 23
Step 2: Find the prime factorization of 2535
2535 = 3 x 5 x 13 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2530 and 2535 is 5