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 8388, 8392 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8388 and 8392 is 4.
GCF(8388,8392) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8392
2 | 8392 |
2 | 4196 |
2 | 2098 |
1049 | 1049 |
1 |
Prime factors of 8392 are 2,1049. Prime factorization of 8392 in exponential form is:
8392 = 23×10491
∴ So by taking common prime factors GCF of 8388 and 8392 is 4
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
Factors of 8392
List of positive integer factors of 8392 that divides 8392 without a remainder.
1,2,4,8,1049,2098,4196,8392
Greatest Common Factor
We found the factors and prime factorization of 8388 and 8392. The biggest common factor number is the GCF number.
So the greatest common factor 8388 and 8392 is 4.
Also check out the Least Common Multiple of 8388 and 8392
(i) The GCF of 8388 and 8392 is associative
GCF of 8388 and 8392 = GCF of 8392 and 8388
1. What is the GCF of 8388 and 8392?
Answer: GCF of 8388 and 8392 is 4.
2. 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.
3. What are the Factors of 8392?
Answer: Factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392. There are 8 integers that are factors of 8392. The greatest factor of 8392 is 8392.
4. How to Find the GCF of 8388 and 8392?
Answer:
Greatest Common Factor of 8388 and 8392 = 4
Step 1: Find the prime factorization of 8388
8388 = 2 x 2 x 3 x 3 x 233
Step 2: Find the prime factorization of 8392
8392 = 2 x 2 x 2 x 1049
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8388 and 8392 is 4