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, 2376 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2368 and 2376 is 8.
GCF(2368,2376) = 8
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 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
∴ So by taking common prime factors GCF of 2368 and 2376 is 8
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 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
Greatest Common Factor
We found the factors and prime factorization of 2368 and 2376. The biggest common factor number is the GCF number.
So the greatest common factor 2368 and 2376 is 8.
Also check out the Least Common Multiple of 2368 and 2376
(i) The GCF of 2368 and 2376 is associative
GCF of 2368 and 2376 = GCF of 2376 and 2368
1. What is the GCF of 2368 and 2376?
Answer: GCF of 2368 and 2376 is 8.
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 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.
4. How to Find the GCF of 2368 and 2376?
Answer:
Greatest Common Factor of 2368 and 2376 = 8
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 2376
2376 = 2 x 2 x 2 x 3 x 3 x 3 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 2368 and 2376 is 8