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 2376, 2381 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2376 and 2381 is 1.
GCF(2376,2381) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2376
2 | 2376 |
2 | 1188 |
2 | 594 |
3 | 297 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 2376 are 2,3,11. Prime factorization of 2376 in exponential form is:
2376 = 23×33×111
Prime Factorization of 2381
2381 | 2381 |
1 |
Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:
2381 = 23811
∴ So by taking common prime factors GCF of 2376 and 2381 is 1
Factors of 2376
List of positive integer factors of 2376 that divides 2376 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Factors of 2381
List of positive integer factors of 2381 that divides 2381 without a remainder.
1,2381
Greatest Common Factor
We found the factors and prime factorization of 2376 and 2381. The biggest common factor number is the GCF number.
So the greatest common factor 2376 and 2381 is 1.
Also check out the Least Common Multiple of 2376 and 2381
(i) The GCF of 2376 and 2381 is associative
GCF of 2376 and 2381 = GCF of 2381 and 2376
1. What is the GCF of 2376 and 2381?
Answer: GCF of 2376 and 2381 is 1.
2. What are the Factors of 2376?
Answer: Factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376. There are 32 integers that are factors of 2376. The greatest factor of 2376 is 2376.
3. What are the Factors of 2381?
Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.
4. How to Find the GCF of 2376 and 2381?
Answer:
Greatest Common Factor of 2376 and 2381 = 1
Step 1: Find the prime factorization of 2376
2376 = 2 x 2 x 2 x 3 x 3 x 3 x 11
Step 2: Find the prime factorization of 2381
2381 = 2381
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 2376 and 2381 is 1