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 3396, 3397 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3396 and 3397 is 1.
GCF(3396,3397) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3396
2 | 3396 |
2 | 1698 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 3396 are 2,3,283. Prime factorization of 3396 in exponential form is:
3396 = 22×31×2831
Prime Factorization of 3397
43 | 3397 |
79 | 79 |
1 |
Prime factors of 3397 are 43,79. Prime factorization of 3397 in exponential form is:
3397 = 431×791
∴ So by taking common prime factors GCF of 3396 and 3397 is 1
Factors of 3396
List of positive integer factors of 3396 that divides 3396 without a remainder.
1,2,3,4,6,12,283,566,849,1132,1698,3396
Factors of 3397
List of positive integer factors of 3397 that divides 3397 without a remainder.
1,43,79,3397
Greatest Common Factor
We found the factors and prime factorization of 3396 and 3397. The biggest common factor number is the GCF number.
So the greatest common factor 3396 and 3397 is 1.
Also check out the Least Common Multiple of 3396 and 3397
(i) The GCF of 3396 and 3397 is associative
GCF of 3396 and 3397 = GCF of 3397 and 3396
1. What is the GCF of 3396 and 3397?
Answer: GCF of 3396 and 3397 is 1.
2. What are the Factors of 3396?
Answer: Factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396. There are 12 integers that are factors of 3396. The greatest factor of 3396 is 3396.
3. What are the Factors of 3397?
Answer: Factors of 3397 are 1, 43, 79, 3397. There are 4 integers that are factors of 3397. The greatest factor of 3397 is 3397.
4. How to Find the GCF of 3396 and 3397?
Answer:
Greatest Common Factor of 3396 and 3397 = 1
Step 1: Find the prime factorization of 3396
3396 = 2 x 2 x 3 x 283
Step 2: Find the prime factorization of 3397
3397 = 43 x 79
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 3396 and 3397 is 1