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 2418, 2425 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2418 and 2425 is 1.
GCF(2418,2425) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2418
2 | 2418 |
3 | 1209 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 2418 are 2,3,13,31. Prime factorization of 2418 in exponential form is:
2418 = 21×31×131×311
Prime Factorization of 2425
5 | 2425 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:
2425 = 52×971
∴ So by taking common prime factors GCF of 2418 and 2425 is 1
Factors of 2418
List of positive integer factors of 2418 that divides 2418 without a remainder.
1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Factors of 2425
List of positive integer factors of 2425 that divides 2425 without a remainder.
1,5,25,97,485,2425
Greatest Common Factor
We found the factors and prime factorization of 2418 and 2425. The biggest common factor number is the GCF number.
So the greatest common factor 2418 and 2425 is 1.
Also check out the Least Common Multiple of 2418 and 2425
(i) The GCF of 2418 and 2425 is associative
GCF of 2418 and 2425 = GCF of 2425 and 2418
1. What is the GCF of 2418 and 2425?
Answer: GCF of 2418 and 2425 is 1.
2. What are the Factors of 2418?
Answer: Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418. There are 16 integers that are factors of 2418. The greatest factor of 2418 is 2418.
3. What are the Factors of 2425?
Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.
4. How to Find the GCF of 2418 and 2425?
Answer:
Greatest Common Factor of 2418 and 2425 = 1
Step 1: Find the prime factorization of 2418
2418 = 2 x 3 x 13 x 31
Step 2: Find the prime factorization of 2425
2425 = 5 x 5 x 97
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 2418 and 2425 is 1