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 8332, 8338 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8332 and 8338 is 2.
GCF(8332,8338) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8332
2 | 8332 |
2 | 4166 |
2083 | 2083 |
1 |
Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:
8332 = 22×20831
Prime Factorization of 8338
2 | 8338 |
11 | 4169 |
379 | 379 |
1 |
Prime factors of 8338 are 2,11,379. Prime factorization of 8338 in exponential form is:
8338 = 21×111×3791
∴ So by taking common prime factors GCF of 8332 and 8338 is 2
Factors of 8332
List of positive integer factors of 8332 that divides 8332 without a remainder.
1,2,4,2083,4166,8332
Factors of 8338
List of positive integer factors of 8338 that divides 8338 without a remainder.
1,2,11,22,379,758,4169,8338
Greatest Common Factor
We found the factors and prime factorization of 8332 and 8338. The biggest common factor number is the GCF number.
So the greatest common factor 8332 and 8338 is 2.
Also check out the Least Common Multiple of 8332 and 8338
(i) The GCF of 8332 and 8338 is associative
GCF of 8332 and 8338 = GCF of 8338 and 8332
1. What is the GCF of 8332 and 8338?
Answer: GCF of 8332 and 8338 is 2.
2. What are the Factors of 8332?
Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.
3. What are the Factors of 8338?
Answer: Factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338. There are 8 integers that are factors of 8338. The greatest factor of 8338 is 8338.
4. How to Find the GCF of 8332 and 8338?
Answer:
Greatest Common Factor of 8332 and 8338 = 2
Step 1: Find the prime factorization of 8332
8332 = 2 x 2 x 2083
Step 2: Find the prime factorization of 8338
8338 = 2 x 11 x 379
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8332 and 8338 is 2