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 6351, 6357 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6351 and 6357 is 3.
GCF(6351,6357) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6351
3 | 6351 |
29 | 2117 |
73 | 73 |
1 |
Prime factors of 6351 are 3,29,73. Prime factorization of 6351 in exponential form is:
6351 = 31×291×731
Prime Factorization of 6357
3 | 6357 |
13 | 2119 |
163 | 163 |
1 |
Prime factors of 6357 are 3,13,163. Prime factorization of 6357 in exponential form is:
6357 = 31×131×1631
∴ So by taking common prime factors GCF of 6351 and 6357 is 3
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1,3,29,73,87,219,2117,6351
Factors of 6357
List of positive integer factors of 6357 that divides 6357 without a remainder.
1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors and prime factorization of 6351 and 6357. The biggest common factor number is the GCF number.
So the greatest common factor 6351 and 6357 is 3.
Also check out the Least Common Multiple of 6351 and 6357
(i) The GCF of 6351 and 6357 is associative
GCF of 6351 and 6357 = GCF of 6357 and 6351
1. What is the GCF of 6351 and 6357?
Answer: GCF of 6351 and 6357 is 3.
2. What are the Factors of 6351?
Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.
3. What are the Factors of 6357?
Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.
4. How to Find the GCF of 6351 and 6357?
Answer:
Greatest Common Factor of 6351 and 6357 = 3
Step 1: Find the prime factorization of 6351
6351 = 3 x 29 x 73
Step 2: Find the prime factorization of 6357
6357 = 3 x 13 x 163
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 6351 and 6357 is 3