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 8377, 8382 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8377 and 8382 is 1.
GCF(8377,8382) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8377
8377 | 8377 |
1 |
Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:
8377 = 83771
Prime Factorization of 8382
2 | 8382 |
3 | 4191 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 8382 are 2.Prime factorization of 8382 in exponential form is:
8382 = 21×31×111×1271
∴ So by taking common prime factors GCF of 8377 and 8382 is 1
Factors of 8377
List of positive integer factors of 8377 that divides 8377 without a remainder.
1,8377
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 8377 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8377 and 8382 is 1.
Also check out the Least Common Multiple of 8377 and 8382
(i) The GCF of 8377 and 8382 is associative
GCF of 8377 and 8382 = GCF of 8382 and 8377
1. What is the GCF of 8377 and 8382?
Answer: GCF of 8377 and 8382 is 1.
2. What are the Factors of 8377?
Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.
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 8377 and 8382?
Answer:
Greatest Common Factor of 8377 and 8382 = 1
Step 1: Find the prime factorization of 8377
8377 = 8377
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 = = 1
Step 4: Therefore, the greatest common factor of 8377 and 8382 is 1