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 8376, 8382 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8376 and 8382 is 6.
GCF(8376,8382) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8376
2 | 8376 |
2 | 4188 |
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 8376 are 2,3,349. Prime factorization of 8376 in exponential form is:
8376 = 23×31×3491
Prime Factorization of 8382
2 | 8382 |
3 | 4191 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 8382 are 2,3,11,127. Prime factorization of 8382 in exponential form is:
8382 = 21×31×111×1271
∴ So by taking common prime factors GCF of 8376 and 8382 is 6
Factors of 8376
List of positive integer factors of 8376 that divides 8376 without a remainder.
1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Factors of 8382
List of positive integer factors of 8382 that divides 8382 without a remainder.
1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382
Greatest Common Factor
We found the factors and prime factorization of 8376 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8376 and 8382 is 6.
Also check out the Least Common Multiple of 8376 and 8382
(i) The GCF of 8376 and 8382 is associative
GCF of 8376 and 8382 = GCF of 8382 and 8376
1. What is the GCF of 8376 and 8382?
Answer: GCF of 8376 and 8382 is 6.
2. What are the Factors of 8376?
Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.
3. What are the Factors of 8382?
Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.
4. How to Find the GCF of 8376 and 8382?
Answer:
Greatest Common Factor of 8376 and 8382 = 6
Step 1: Find the prime factorization of 8376
8376 = 2 x 2 x 2 x 3 x 349
Step 2: Find the prime factorization of 8382
8382 = 2 x 3 x 11 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 8376 and 8382 is 6