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 2322, 2324 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2322 and 2324 is 2.
GCF(2322,2324) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2322
2 | 2322 |
3 | 1161 |
3 | 387 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 2322 are 2,3,43. Prime factorization of 2322 in exponential form is:
2322 = 21×33×431
Prime Factorization of 2324
2 | 2324 |
2 | 1162 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 2324 are 2,7,83. Prime factorization of 2324 in exponential form is:
2324 = 22×71×831
∴ So by taking common prime factors GCF of 2322 and 2324 is 2
Factors of 2322
List of positive integer factors of 2322 that divides 2322 without a remainder.
1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
Factors of 2324
List of positive integer factors of 2324 that divides 2324 without a remainder.
1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors and prime factorization of 2322 and 2324. The biggest common factor number is the GCF number.
So the greatest common factor 2322 and 2324 is 2.
Also check out the Least Common Multiple of 2322 and 2324
(i) The GCF of 2322 and 2324 is associative
GCF of 2322 and 2324 = GCF of 2324 and 2322
1. What is the GCF of 2322 and 2324?
Answer: GCF of 2322 and 2324 is 2.
2. What are the Factors of 2322?
Answer: Factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322. There are 16 integers that are factors of 2322. The greatest factor of 2322 is 2322.
3. What are the Factors of 2324?
Answer: Factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324. There are 12 integers that are factors of 2324. The greatest factor of 2324 is 2324.
4. How to Find the GCF of 2322 and 2324?
Answer:
Greatest Common Factor of 2322 and 2324 = 2
Step 1: Find the prime factorization of 2322
2322 = 2 x 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 2324
2324 = 2 x 2 x 7 x 83
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 2322 and 2324 is 2