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 2373, 2380 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2373 and 2380 is 7.
GCF(2373,2380) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2380
2 | 2380 |
2 | 1190 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 2380 are 2,5,7,17. Prime factorization of 2380 in exponential form is:
2380 = 22×51×71×171
∴ So by taking common prime factors GCF of 2373 and 2380 is 7
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Factors of 2380
List of positive integer factors of 2380 that divides 2380 without a remainder.
1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Greatest Common Factor
We found the factors and prime factorization of 2373 and 2380. The biggest common factor number is the GCF number.
So the greatest common factor 2373 and 2380 is 7.
Also check out the Least Common Multiple of 2373 and 2380
(i) The GCF of 2373 and 2380 is associative
GCF of 2373 and 2380 = GCF of 2380 and 2373
1. What is the GCF of 2373 and 2380?
Answer: GCF of 2373 and 2380 is 7.
2. 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.
3. What are the Factors of 2380?
Answer: Factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. There are 24 integers that are factors of 2380. The greatest factor of 2380 is 2380.
4. How to Find the GCF of 2373 and 2380?
Answer:
Greatest Common Factor of 2373 and 2380 = 7
Step 1: Find the prime factorization of 2373
2373 = 3 x 7 x 113
Step 2: Find the prime factorization of 2380
2380 = 2 x 2 x 5 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2373 and 2380 is 7