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 2506, 2508 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2506 and 2508 is 2.
GCF(2506,2508) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2506
2 | 2506 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 2506 are 2,7,179. Prime factorization of 2506 in exponential form is:
2506 = 21×71×1791
Prime Factorization of 2508
2 | 2508 |
2 | 1254 |
3 | 627 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 2508 are 2,3,11,19. Prime factorization of 2508 in exponential form is:
2508 = 22×31×111×191
∴ So by taking common prime factors GCF of 2506 and 2508 is 2
Factors of 2506
List of positive integer factors of 2506 that divides 2506 without a remainder.
1,2,7,14,179,358,1253,2506
Factors of 2508
List of positive integer factors of 2508 that divides 2508 without a remainder.
1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508
Greatest Common Factor
We found the factors and prime factorization of 2506 and 2508. The biggest common factor number is the GCF number.
So the greatest common factor 2506 and 2508 is 2.
Also check out the Least Common Multiple of 2506 and 2508
(i) The GCF of 2506 and 2508 is associative
GCF of 2506 and 2508 = GCF of 2508 and 2506
1. What is the GCF of 2506 and 2508?
Answer: GCF of 2506 and 2508 is 2.
2. What are the Factors of 2506?
Answer: Factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506. There are 8 integers that are factors of 2506. The greatest factor of 2506 is 2506.
3. What are the Factors of 2508?
Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.
4. How to Find the GCF of 2506 and 2508?
Answer:
Greatest Common Factor of 2506 and 2508 = 2
Step 1: Find the prime factorization of 2506
2506 = 2 x 7 x 179
Step 2: Find the prime factorization of 2508
2508 = 2 x 2 x 3 x 11 x 19
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 2506 and 2508 is 2