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 3289, 3293 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3289 and 3293 is 1.
GCF(3289,3293) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3289
11 | 3289 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 3289 are 11,13,23. Prime factorization of 3289 in exponential form is:
3289 = 111×131×231
Prime Factorization of 3293
37 | 3293 |
89 | 89 |
1 |
Prime factors of 3293 are 37,89. Prime factorization of 3293 in exponential form is:
3293 = 371×891
∴ So by taking common prime factors GCF of 3289 and 3293 is 1
Factors of 3289
List of positive integer factors of 3289 that divides 3289 without a remainder.
1,11,13,23,143,253,299,3289
Factors of 3293
List of positive integer factors of 3293 that divides 3293 without a remainder.
1,37,89,3293
Greatest Common Factor
We found the factors and prime factorization of 3289 and 3293. The biggest common factor number is the GCF number.
So the greatest common factor 3289 and 3293 is 1.
Also check out the Least Common Multiple of 3289 and 3293
(i) The GCF of 3289 and 3293 is associative
GCF of 3289 and 3293 = GCF of 3293 and 3289
1. What is the GCF of 3289 and 3293?
Answer: GCF of 3289 and 3293 is 1.
2. What are the Factors of 3289?
Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.
3. What are the Factors of 3293?
Answer: Factors of 3293 are 1, 37, 89, 3293. There are 4 integers that are factors of 3293. The greatest factor of 3293 is 3293.
4. How to Find the GCF of 3289 and 3293?
Answer:
Greatest Common Factor of 3289 and 3293 = 1
Step 1: Find the prime factorization of 3289
3289 = 11 x 13 x 23
Step 2: Find the prime factorization of 3293
3293 = 37 x 89
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 3289 and 3293 is 1