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 308421, 308427 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 308421 and 308427 is 3.
GCF(308421,308427) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 308421
3 | 308421 |
3 | 102807 |
3 | 34269 |
11423 | 11423 |
1 |
Prime factors of 308421 are 3,11423. Prime factorization of 308421 in exponential form is:
308421 = 33×114231
Prime Factorization of 308427
3 | 308427 |
7 | 102809 |
19 | 14687 |
773 | 773 |
1 |
Prime factors of 308427 are 3,7,19,773. Prime factorization of 308427 in exponential form is:
308427 = 31×71×191×7731
∴ So by taking common prime factors GCF of 308421 and 308427 is 3
Factors of 308421
List of positive integer factors of 308421 that divides 308421 without a remainder.
1,3,9,27,11423,34269,102807,308421
Factors of 308427
List of positive integer factors of 308427 that divides 308427 without a remainder.
1,3,7,19,21,57,133,399,773,2319,5411,14687,16233,44061,102809,308427
Greatest Common Factor
We found the factors and prime factorization of 308421 and 308427. The biggest common factor number is the GCF number.
So the greatest common factor 308421 and 308427 is 3.
Also check out the Least Common Multiple of 308421 and 308427
(i) The GCF of 308421 and 308427 is associative
GCF of 308421 and 308427 = GCF of 308427 and 308421
1. What is the GCF of 308421 and 308427?
Answer: GCF of 308421 and 308427 is 3.
2. What are the Factors of 308421?
Answer: Factors of 308421 are 1, 3, 9, 27, 11423, 34269, 102807, 308421. There are 8 integers that are factors of 308421. The greatest factor of 308421 is 308421.
3. What are the Factors of 308427?
Answer: Factors of 308427 are 1, 3, 7, 19, 21, 57, 133, 399, 773, 2319, 5411, 14687, 16233, 44061, 102809, 308427. There are 16 integers that are factors of 308427. The greatest factor of 308427 is 308427.
4. How to Find the GCF of 308421 and 308427?
Answer:
Greatest Common Factor of 308421 and 308427 = 3
Step 1: Find the prime factorization of 308421
308421 = 3 x 3 x 3 x 11423
Step 2: Find the prime factorization of 308427
308427 = 3 x 7 x 19 x 773
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 308421 and 308427 is 3