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 3357, 3362 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3357 and 3362 is 1.
GCF(3357,3362) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3357
3 | 3357 |
3 | 1119 |
373 | 373 |
1 |
Prime factors of 3357 are 3,373. Prime factorization of 3357 in exponential form is:
3357 = 32×3731
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
∴ So by taking common prime factors GCF of 3357 and 3362 is 1
Factors of 3357
List of positive integer factors of 3357 that divides 3357 without a remainder.
1,3,9,373,1119,3357
Factors of 3362
List of positive integer factors of 3362 that divides 3362 without a remainder.
1,2,41,82,1681,3362
Greatest Common Factor
We found the factors and prime factorization of 3357 and 3362. The biggest common factor number is the GCF number.
So the greatest common factor 3357 and 3362 is 1.
Also check out the Least Common Multiple of 3357 and 3362
(i) The GCF of 3357 and 3362 is associative
GCF of 3357 and 3362 = GCF of 3362 and 3357
1. What is the GCF of 3357 and 3362?
Answer: GCF of 3357 and 3362 is 1.
2. What are the Factors of 3357?
Answer: Factors of 3357 are 1, 3, 9, 373, 1119, 3357. There are 6 integers that are factors of 3357. The greatest factor of 3357 is 3357.
3. 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.
4. How to Find the GCF of 3357 and 3362?
Answer:
Greatest Common Factor of 3357 and 3362 = 1
Step 1: Find the prime factorization of 3357
3357 = 3 x 3 x 373
Step 2: Find the prime factorization of 3362
3362 = 2 x 41 x 41
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 3357 and 3362 is 1