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 6332, 6336 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6332 and 6336 is 4.
GCF(6332,6336) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6332
2 | 6332 |
2 | 3166 |
1583 | 1583 |
1 |
Prime factors of 6332 are 2,1583. Prime factorization of 6332 in exponential form is:
6332 = 22×15831
Prime Factorization of 6336
2 | 6336 |
2 | 3168 |
2 | 1584 |
2 | 792 |
2 | 396 |
2 | 198 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 6336 are 2,3,11. Prime factorization of 6336 in exponential form is:
6336 = 26×32×111
∴ So by taking common prime factors GCF of 6332 and 6336 is 4
Factors of 6332
List of positive integer factors of 6332 that divides 6332 without a remainder.
1,2,4,1583,3166,6332
Factors of 6336
List of positive integer factors of 6336 that divides 6336 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors and prime factorization of 6332 and 6336. The biggest common factor number is the GCF number.
So the greatest common factor 6332 and 6336 is 4.
Also check out the Least Common Multiple of 6332 and 6336
(i) The GCF of 6332 and 6336 is associative
GCF of 6332 and 6336 = GCF of 6336 and 6332
1. What is the GCF of 6332 and 6336?
Answer: GCF of 6332 and 6336 is 4.
2. What are the Factors of 6332?
Answer: Factors of 6332 are 1, 2, 4, 1583, 3166, 6332. There are 6 integers that are factors of 6332. The greatest factor of 6332 is 6332.
3. What are the Factors of 6336?
Answer: Factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336. There are 42 integers that are factors of 6336. The greatest factor of 6336 is 6336.
4. How to Find the GCF of 6332 and 6336?
Answer:
Greatest Common Factor of 6332 and 6336 = 4
Step 1: Find the prime factorization of 6332
6332 = 2 x 2 x 1583
Step 2: Find the prime factorization of 6336
6336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 6332 and 6336 is 4