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 2482, 2488 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2482 and 2488 is 2.
GCF(2482,2488) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2482
2 | 2482 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 2482 are 2,17,73. Prime factorization of 2482 in exponential form is:
2482 = 21×171×731
Prime Factorization of 2488
2 | 2488 |
2 | 1244 |
2 | 622 |
311 | 311 |
1 |
Prime factors of 2488 are 2,311. Prime factorization of 2488 in exponential form is:
2488 = 23×3111
∴ So by taking common prime factors GCF of 2482 and 2488 is 2
Factors of 2482
List of positive integer factors of 2482 that divides 2482 without a remainder.
1,2,17,34,73,146,1241,2482
Factors of 2488
List of positive integer factors of 2488 that divides 2488 without a remainder.
1,2,4,8,311,622,1244,2488
Greatest Common Factor
We found the factors and prime factorization of 2482 and 2488. The biggest common factor number is the GCF number.
So the greatest common factor 2482 and 2488 is 2.
Also check out the Least Common Multiple of 2482 and 2488
(i) The GCF of 2482 and 2488 is associative
GCF of 2482 and 2488 = GCF of 2488 and 2482
1. What is the GCF of 2482 and 2488?
Answer: GCF of 2482 and 2488 is 2.
2. What are the Factors of 2482?
Answer: Factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482. There are 8 integers that are factors of 2482. The greatest factor of 2482 is 2482.
3. What are the Factors of 2488?
Answer: Factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488. There are 8 integers that are factors of 2488. The greatest factor of 2488 is 2488.
4. How to Find the GCF of 2482 and 2488?
Answer:
Greatest Common Factor of 2482 and 2488 = 2
Step 1: Find the prime factorization of 2482
2482 = 2 x 17 x 73
Step 2: Find the prime factorization of 2488
2488 = 2 x 2 x 2 x 311
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 2482 and 2488 is 2