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 3310, 3318 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3310 and 3318 is 2.
GCF(3310,3318) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3310
2 | 3310 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 3310 are 2,5,331. Prime factorization of 3310 in exponential form is:
3310 = 21×51×3311
Prime Factorization of 3318
2 | 3318 |
3 | 1659 |
7 | 553 |
79 | 79 |
1 |
Prime factors of 3318 are 2,3,7,79. Prime factorization of 3318 in exponential form is:
3318 = 21×31×71×791
∴ So by taking common prime factors GCF of 3310 and 3318 is 2
Factors of 3310
List of positive integer factors of 3310 that divides 3310 without a remainder.
1,2,5,10,331,662,1655,3310
Factors of 3318
List of positive integer factors of 3318 that divides 3318 without a remainder.
1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Greatest Common Factor
We found the factors and prime factorization of 3310 and 3318. The biggest common factor number is the GCF number.
So the greatest common factor 3310 and 3318 is 2.
Also check out the Least Common Multiple of 3310 and 3318
(i) The GCF of 3310 and 3318 is associative
GCF of 3310 and 3318 = GCF of 3318 and 3310
1. What is the GCF of 3310 and 3318?
Answer: GCF of 3310 and 3318 is 2.
2. What are the Factors of 3310?
Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.
3. What are the Factors of 3318?
Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.
4. How to Find the GCF of 3310 and 3318?
Answer:
Greatest Common Factor of 3310 and 3318 = 2
Step 1: Find the prime factorization of 3310
3310 = 2 x 5 x 331
Step 2: Find the prime factorization of 3318
3318 = 2 x 3 x 7 x 79
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 3310 and 3318 is 2