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 10326, 10332 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10326 and 10332 is 6.
GCF(10326,10332) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10326
2 | 10326 |
3 | 5163 |
1721 | 1721 |
1 |
Prime factors of 10326 are 2,3,1721. Prime factorization of 10326 in exponential form is:
10326 = 21×31×17211
Prime Factorization of 10332
2 | 10332 |
2 | 5166 |
3 | 2583 |
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 10332 are 2,3,7,41. Prime factorization of 10332 in exponential form is:
10332 = 22×32×71×411
∴ So by taking common prime factors GCF of 10326 and 10332 is 6
Factors of 10326
List of positive integer factors of 10326 that divides 10326 without a remainder.
1,2,3,6,1721,3442,5163,10326
Factors of 10332
List of positive integer factors of 10332 that divides 10332 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,41,42,63,82,84,123,126,164,246,252,287,369,492,574,738,861,1148,1476,1722,2583,3444,5166,10332
Greatest Common Factor
We found the factors and prime factorization of 10326 and 10332. The biggest common factor number is the GCF number.
So the greatest common factor 10326 and 10332 is 6.
Also check out the Least Common Multiple of 10326 and 10332
(i) The GCF of 10326 and 10332 is associative
GCF of 10326 and 10332 = GCF of 10332 and 10326
1. What is the GCF of 10326 and 10332?
Answer: GCF of 10326 and 10332 is 6.
2. What are the Factors of 10326?
Answer: Factors of 10326 are 1, 2, 3, 6, 1721, 3442, 5163, 10326. There are 8 integers that are factors of 10326. The greatest factor of 10326 is 10326.
3. What are the Factors of 10332?
Answer: Factors of 10332 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332. There are 36 integers that are factors of 10332. The greatest factor of 10332 is 10332.
4. How to Find the GCF of 10326 and 10332?
Answer:
Greatest Common Factor of 10326 and 10332 = 6
Step 1: Find the prime factorization of 10326
10326 = 2 x 3 x 1721
Step 2: Find the prime factorization of 10332
10332 = 2 x 2 x 3 x 3 x 7 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 10326 and 10332 is 6