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 308402, 308408 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 308402 and 308408 is 2.
GCF(308402,308408) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 308402
2 | 308402 |
41 | 154201 |
3761 | 3761 |
1 |
Prime factors of 308402 are 2,41,3761. Prime factorization of 308402 in exponential form is:
308402 = 21×411×37611
Prime Factorization of 308408
2 | 308408 |
2 | 154204 |
2 | 77102 |
19 | 38551 |
2029 | 2029 |
1 |
Prime factors of 308408 are 2,19,2029. Prime factorization of 308408 in exponential form is:
308408 = 23×191×20291
∴ So by taking common prime factors GCF of 308402 and 308408 is 2
Factors of 308402
List of positive integer factors of 308402 that divides 308402 without a remainder.
1,2,41,82,3761,7522,154201,308402
Factors of 308408
List of positive integer factors of 308408 that divides 308408 without a remainder.
1,2,4,8,19,38,76,152,2029,4058,8116,16232,38551,77102,154204,308408
Greatest Common Factor
We found the factors and prime factorization of 308402 and 308408. The biggest common factor number is the GCF number.
So the greatest common factor 308402 and 308408 is 2.
Also check out the Least Common Multiple of 308402 and 308408
(i) The GCF of 308402 and 308408 is associative
GCF of 308402 and 308408 = GCF of 308408 and 308402
1. What is the GCF of 308402 and 308408?
Answer: GCF of 308402 and 308408 is 2.
2. What are the Factors of 308402?
Answer: Factors of 308402 are 1, 2, 41, 82, 3761, 7522, 154201, 308402. There are 8 integers that are factors of 308402. The greatest factor of 308402 is 308402.
3. What are the Factors of 308408?
Answer: Factors of 308408 are 1, 2, 4, 8, 19, 38, 76, 152, 2029, 4058, 8116, 16232, 38551, 77102, 154204, 308408. There are 16 integers that are factors of 308408. The greatest factor of 308408 is 308408.
4. How to Find the GCF of 308402 and 308408?
Answer:
Greatest Common Factor of 308402 and 308408 = 2
Step 1: Find the prime factorization of 308402
308402 = 2 x 41 x 3761
Step 2: Find the prime factorization of 308408
308408 = 2 x 2 x 2 x 19 x 2029
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 308402 and 308408 is 2