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 3302, 3306 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3302 and 3306 is 2.
GCF(3302,3306) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3302
2 | 3302 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 3302 are 2,13,127. Prime factorization of 3302 in exponential form is:
3302 = 21×131×1271
Prime Factorization of 3306
2 | 3306 |
3 | 1653 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 3306 are 2,3,19,29. Prime factorization of 3306 in exponential form is:
3306 = 21×31×191×291
∴ So by taking common prime factors GCF of 3302 and 3306 is 2
Factors of 3302
List of positive integer factors of 3302 that divides 3302 without a remainder.
1,2,13,26,127,254,1651,3302
Factors of 3306
List of positive integer factors of 3306 that divides 3306 without a remainder.
1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306
Greatest Common Factor
We found the factors and prime factorization of 3302 and 3306. The biggest common factor number is the GCF number.
So the greatest common factor 3302 and 3306 is 2.
Also check out the Least Common Multiple of 3302 and 3306
(i) The GCF of 3302 and 3306 is associative
GCF of 3302 and 3306 = GCF of 3306 and 3302
1. What is the GCF of 3302 and 3306?
Answer: GCF of 3302 and 3306 is 2.
2. What are the Factors of 3302?
Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.
3. What are the Factors of 3306?
Answer: Factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306. There are 16 integers that are factors of 3306. The greatest factor of 3306 is 3306.
4. How to Find the GCF of 3302 and 3306?
Answer:
Greatest Common Factor of 3302 and 3306 = 2
Step 1: Find the prime factorization of 3302
3302 = 2 x 13 x 127
Step 2: Find the prime factorization of 3306
3306 = 2 x 3 x 19 x 29
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 3302 and 3306 is 2