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 10322, 10326 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10322 and 10326 is 2.
GCF(10322,10326) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10322
2 | 10322 |
13 | 5161 |
397 | 397 |
1 |
Prime factors of 10322 are 2,13,397. Prime factorization of 10322 in exponential form is:
10322 = 21×131×3971
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
∴ So by taking common prime factors GCF of 10322 and 10326 is 2
Factors of 10322
List of positive integer factors of 10322 that divides 10322 without a remainder.
1,2,13,26,397,794,5161,10322
Factors of 10326
List of positive integer factors of 10326 that divides 10326 without a remainder.
1,2,3,6,1721,3442,5163,10326
Greatest Common Factor
We found the factors and prime factorization of 10322 and 10326. The biggest common factor number is the GCF number.
So the greatest common factor 10322 and 10326 is 2.
Also check out the Least Common Multiple of 10322 and 10326
(i) The GCF of 10322 and 10326 is associative
GCF of 10322 and 10326 = GCF of 10326 and 10322
1. What is the GCF of 10322 and 10326?
Answer: GCF of 10322 and 10326 is 2.
2. What are the Factors of 10322?
Answer: Factors of 10322 are 1, 2, 13, 26, 397, 794, 5161, 10322. There are 8 integers that are factors of 10322. The greatest factor of 10322 is 10322.
3. 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.
4. How to Find the GCF of 10322 and 10326?
Answer:
Greatest Common Factor of 10322 and 10326 = 2
Step 1: Find the prime factorization of 10322
10322 = 2 x 13 x 397
Step 2: Find the prime factorization of 10326
10326 = 2 x 3 x 1721
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 10322 and 10326 is 2