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 2398, 2402 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2398 and 2402 is 2.
GCF(2398,2402) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2398
2 | 2398 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 2398 are 2,11,109. Prime factorization of 2398 in exponential form is:
2398 = 21×111×1091
Prime Factorization of 2402
2 | 2402 |
1201 | 1201 |
1 |
Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:
2402 = 21×12011
∴ So by taking common prime factors GCF of 2398 and 2402 is 2
Factors of 2398
List of positive integer factors of 2398 that divides 2398 without a remainder.
1,2,11,22,109,218,1199,2398
Factors of 2402
List of positive integer factors of 2402 that divides 2402 without a remainder.
1,2,1201,2402
Greatest Common Factor
We found the factors and prime factorization of 2398 and 2402. The biggest common factor number is the GCF number.
So the greatest common factor 2398 and 2402 is 2.
Also check out the Least Common Multiple of 2398 and 2402
(i) The GCF of 2398 and 2402 is associative
GCF of 2398 and 2402 = GCF of 2402 and 2398
1. What is the GCF of 2398 and 2402?
Answer: GCF of 2398 and 2402 is 2.
2. What are the Factors of 2398?
Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.
3. What are the Factors of 2402?
Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.
4. How to Find the GCF of 2398 and 2402?
Answer:
Greatest Common Factor of 2398 and 2402 = 2
Step 1: Find the prime factorization of 2398
2398 = 2 x 11 x 109
Step 2: Find the prime factorization of 2402
2402 = 2 x 1201
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 2398 and 2402 is 2