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 8381, 8388 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8381 and 8388 is 1.
GCF(8381,8388) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8381
17 | 8381 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 8381 are 17,29. Prime factorization of 8381 in exponential form is:
8381 = 172×291
Prime Factorization of 8388
2 | 8388 |
2 | 4194 |
3 | 2097 |
3 | 699 |
233 | 233 |
1 |
Prime factors of 8388 are 2,3,233. Prime factorization of 8388 in exponential form is:
8388 = 22×32×2331
∴ So by taking common prime factors GCF of 8381 and 8388 is 1
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1,17,29,289,493,8381
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors and prime factorization of 8381 and 8388. The biggest common factor number is the GCF number.
So the greatest common factor 8381 and 8388 is 1.
Also check out the Least Common Multiple of 8381 and 8388
(i) The GCF of 8381 and 8388 is associative
GCF of 8381 and 8388 = GCF of 8388 and 8381
1. What is the GCF of 8381 and 8388?
Answer: GCF of 8381 and 8388 is 1.
2. What are the Factors of 8381?
Answer: Factors of 8381 are 1, 17, 29, 289, 493, 8381. There are 6 integers that are factors of 8381. The greatest factor of 8381 is 8381.
3. What are the Factors of 8388?
Answer: Factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388. There are 18 integers that are factors of 8388. The greatest factor of 8388 is 8388.
4. How to Find the GCF of 8381 and 8388?
Answer:
Greatest Common Factor of 8381 and 8388 = 1
Step 1: Find the prime factorization of 8381
8381 = 17 x 17 x 29
Step 2: Find the prime factorization of 8388
8388 = 2 x 2 x 3 x 3 x 233
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 8381 and 8388 is 1