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 2329, 2337 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2329 and 2337 is 1.
GCF(2329,2337) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2329
17 | 2329 |
137 | 137 |
1 |
Prime factors of 2329 are 17,137. Prime factorization of 2329 in exponential form is:
2329 = 171×1371
Prime Factorization of 2337
3 | 2337 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 2337 are 3,19,41. Prime factorization of 2337 in exponential form is:
2337 = 31×191×411
∴ So by taking common prime factors GCF of 2329 and 2337 is 1
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1,17,137,2329
Factors of 2337
List of positive integer factors of 2337 that divides 2337 without a remainder.
1,3,19,41,57,123,779,2337
Greatest Common Factor
We found the factors and prime factorization of 2329 and 2337. The biggest common factor number is the GCF number.
So the greatest common factor 2329 and 2337 is 1.
Also check out the Least Common Multiple of 2329 and 2337
(i) The GCF of 2329 and 2337 is associative
GCF of 2329 and 2337 = GCF of 2337 and 2329
1. What is the GCF of 2329 and 2337?
Answer: GCF of 2329 and 2337 is 1.
2. What are the Factors of 2329?
Answer: Factors of 2329 are 1, 17, 137, 2329. There are 4 integers that are factors of 2329. The greatest factor of 2329 is 2329.
3. What are the Factors of 2337?
Answer: Factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337. There are 8 integers that are factors of 2337. The greatest factor of 2337 is 2337.
4. How to Find the GCF of 2329 and 2337?
Answer:
Greatest Common Factor of 2329 and 2337 = 1
Step 1: Find the prime factorization of 2329
2329 = 17 x 137
Step 2: Find the prime factorization of 2337
2337 = 3 x 19 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 2329 and 2337 is 1