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 3362, 3369 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3362 and 3369 is 1.
GCF(3362,3369) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3362
2 | 3362 |
41 | 1681 |
41 | 41 |
1 |
Prime factors of 3362 are 2,41. Prime factorization of 3362 in exponential form is:
3362 = 21×412
Prime Factorization of 3369
3 | 3369 |
1123 | 1123 |
1 |
Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:
3369 = 31×11231
∴ So by taking common prime factors GCF of 3362 and 3369 is 1
Factors of 3362
List of positive integer factors of 3362 that divides 3362 without a remainder.
1,2,41,82,1681,3362
Factors of 3369
List of positive integer factors of 3369 that divides 3369 without a remainder.
1,3,1123,3369
Greatest Common Factor
We found the factors and prime factorization of 3362 and 3369. The biggest common factor number is the GCF number.
So the greatest common factor 3362 and 3369 is 1.
Also check out the Least Common Multiple of 3362 and 3369
(i) The GCF of 3362 and 3369 is associative
GCF of 3362 and 3369 = GCF of 3369 and 3362
1. What is the GCF of 3362 and 3369?
Answer: GCF of 3362 and 3369 is 1.
2. What are the Factors of 3362?
Answer: Factors of 3362 are 1, 2, 41, 82, 1681, 3362. There are 6 integers that are factors of 3362. The greatest factor of 3362 is 3362.
3. What are the Factors of 3369?
Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.
4. How to Find the GCF of 3362 and 3369?
Answer:
Greatest Common Factor of 3362 and 3369 = 1
Step 1: Find the prime factorization of 3362
3362 = 2 x 41 x 41
Step 2: Find the prime factorization of 3369
3369 = 3 x 1123
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3362 and 3369 is 1