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 2368, 2373 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2368 and 2373 is 1.
GCF(2368,2373) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2368
2 | 2368 |
2 | 1184 |
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:
2368 = 26×371
Prime Factorization of 2373
3 | 2373 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 2373 are 3,7,113. Prime factorization of 2373 in exponential form is:
2373 = 31×71×1131
∴ So by taking common prime factors GCF of 2368 and 2373 is 1
Factors of 2368
List of positive integer factors of 2368 that divides 2368 without a remainder.
1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Greatest Common Factor
We found the factors and prime factorization of 2368 and 2373. The biggest common factor number is the GCF number.
So the greatest common factor 2368 and 2373 is 1.
Also check out the Least Common Multiple of 2368 and 2373
(i) The GCF of 2368 and 2373 is associative
GCF of 2368 and 2373 = GCF of 2373 and 2368
1. What is the GCF of 2368 and 2373?
Answer: GCF of 2368 and 2373 is 1.
2. What are the Factors of 2368?
Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.
3. What are the Factors of 2373?
Answer: Factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373. There are 8 integers that are factors of 2373. The greatest factor of 2373 is 2373.
4. How to Find the GCF of 2368 and 2373?
Answer:
Greatest Common Factor of 2368 and 2373 = 1
Step 1: Find the prime factorization of 2368
2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37
Step 2: Find the prime factorization of 2373
2373 = 3 x 7 x 113
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 2368 and 2373 is 1