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 3322, 3324 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3322 and 3324 is 2.
GCF(3322,3324) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3322
2 | 3322 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 3322 are 2,11,151. Prime factorization of 3322 in exponential form is:
3322 = 21×111×1511
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
∴ So by taking common prime factors GCF of 3322 and 3324 is 2
Factors of 3322
List of positive integer factors of 3322 that divides 3322 without a remainder.
1,2,11,22,151,302,1661,3322
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
Greatest Common Factor
We found the factors and prime factorization of 3322 and 3324. The biggest common factor number is the GCF number.
So the greatest common factor 3322 and 3324 is 2.
Also check out the Least Common Multiple of 3322 and 3324
(i) The GCF of 3322 and 3324 is associative
GCF of 3322 and 3324 = GCF of 3324 and 3322
1. What is the GCF of 3322 and 3324?
Answer: GCF of 3322 and 3324 is 2.
2. What are the Factors of 3322?
Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.
3. 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.
4. How to Find the GCF of 3322 and 3324?
Answer:
Greatest Common Factor of 3322 and 3324 = 2
Step 1: Find the prime factorization of 3322
3322 = 2 x 11 x 151
Step 2: Find the prime factorization of 3324
3324 = 2 x 2 x 3 x 277
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 3322 and 3324 is 2