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 3324, 3326 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3324 and 3326 is 2.
GCF(3324,3326) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3324
2 | 3324 |
2 | 1662 |
3 | 831 |
277 | 277 |
1 |
Prime factors of 3324 are 2,3,277. Prime factorization of 3324 in exponential form is:
3324 = 22×31×2771
Prime Factorization of 3326
2 | 3326 |
1663 | 1663 |
1 |
Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:
3326 = 21×16631
∴ So by taking common prime factors GCF of 3324 and 3326 is 2
Factors of 3324
List of positive integer factors of 3324 that divides 3324 without a remainder.
1,2,3,4,6,12,277,554,831,1108,1662,3324
Factors of 3326
List of positive integer factors of 3326 that divides 3326 without a remainder.
1,2,1663,3326
Greatest Common Factor
We found the factors and prime factorization of 3324 and 3326. The biggest common factor number is the GCF number.
So the greatest common factor 3324 and 3326 is 2.
Also check out the Least Common Multiple of 3324 and 3326
(i) The GCF of 3324 and 3326 is associative
GCF of 3324 and 3326 = GCF of 3326 and 3324
1. What is the GCF of 3324 and 3326?
Answer: GCF of 3324 and 3326 is 2.
2. What are the Factors of 3324?
Answer: Factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. There are 12 integers that are factors of 3324. The greatest factor of 3324 is 3324.
3. What are the Factors of 3326?
Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.
4. How to Find the GCF of 3324 and 3326?
Answer:
Greatest Common Factor of 3324 and 3326 = 2
Step 1: Find the prime factorization of 3324
3324 = 2 x 2 x 3 x 277
Step 2: Find the prime factorization of 3326
3326 = 2 x 1663
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 3324 and 3326 is 2