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 2534, 2540 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2534 and 2540 is 2.
GCF(2534,2540) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2534
2 | 2534 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 2534 are 2,7,181. Prime factorization of 2534 in exponential form is:
2534 = 21×71×1811
Prime Factorization of 2540
2 | 2540 |
2 | 1270 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 2540 are 2,5,127. Prime factorization of 2540 in exponential form is:
2540 = 22×51×1271
∴ So by taking common prime factors GCF of 2534 and 2540 is 2
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1,2,7,14,181,362,1267,2534
Factors of 2540
List of positive integer factors of 2540 that divides 2540 without a remainder.
1,2,4,5,10,20,127,254,508,635,1270,2540
Greatest Common Factor
We found the factors and prime factorization of 2534 and 2540. The biggest common factor number is the GCF number.
So the greatest common factor 2534 and 2540 is 2.
Also check out the Least Common Multiple of 2534 and 2540
(i) The GCF of 2534 and 2540 is associative
GCF of 2534 and 2540 = GCF of 2540 and 2534
1. What is the GCF of 2534 and 2540?
Answer: GCF of 2534 and 2540 is 2.
2. What are the Factors of 2534?
Answer: Factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534. There are 8 integers that are factors of 2534. The greatest factor of 2534 is 2534.
3. What are the Factors of 2540?
Answer: Factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540. There are 12 integers that are factors of 2540. The greatest factor of 2540 is 2540.
4. How to Find the GCF of 2534 and 2540?
Answer:
Greatest Common Factor of 2534 and 2540 = 2
Step 1: Find the prime factorization of 2534
2534 = 2 x 7 x 181
Step 2: Find the prime factorization of 2540
2540 = 2 x 2 x 5 x 127
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 2534 and 2540 is 2