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, 2537 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2530 and 2537 is 1.
GCF(2530,2537) = 1
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 2537
43 | 2537 |
59 | 59 |
1 |
Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:
2537 = 431×591
∴ So by taking common prime factors GCF of 2530 and 2537 is 1
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 2537
List of positive integer factors of 2537 that divides 2537 without a remainder.
1,43,59,2537
Greatest Common Factor
We found the factors and prime factorization of 2530 and 2537. The biggest common factor number is the GCF number.
So the greatest common factor 2530 and 2537 is 1.
Also check out the Least Common Multiple of 2530 and 2537
(i) The GCF of 2530 and 2537 is associative
GCF of 2530 and 2537 = GCF of 2537 and 2530
1. What is the GCF of 2530 and 2537?
Answer: GCF of 2530 and 2537 is 1.
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 2537?
Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.
4. How to Find the GCF of 2530 and 2537?
Answer:
Greatest Common Factor of 2530 and 2537 = 1
Step 1: Find the prime factorization of 2530
2530 = 2 x 5 x 11 x 23
Step 2: Find the prime factorization of 2537
2537 = 43 x 59
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 2530 and 2537 is 1