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 8328, 8332 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8328 and 8332 is 4.
GCF(8328,8332) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8328
2 | 8328 |
2 | 4164 |
2 | 2082 |
3 | 1041 |
347 | 347 |
1 |
Prime factors of 8328 are 2,3,347. Prime factorization of 8328 in exponential form is:
8328 = 23×31×3471
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
∴ So by taking common prime factors GCF of 8328 and 8332 is 4
Factors of 8328
List of positive integer factors of 8328 that divides 8328 without a remainder.
1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328
Factors of 8332
List of positive integer factors of 8332 that divides 8332 without a remainder.
1,2,4,2083,4166,8332
Greatest Common Factor
We found the factors and prime factorization of 8328 and 8332. The biggest common factor number is the GCF number.
So the greatest common factor 8328 and 8332 is 4.
Also check out the Least Common Multiple of 8328 and 8332
(i) The GCF of 8328 and 8332 is associative
GCF of 8328 and 8332 = GCF of 8332 and 8328
1. What is the GCF of 8328 and 8332?
Answer: GCF of 8328 and 8332 is 4.
2. What are the Factors of 8328?
Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.
3. 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.
4. How to Find the GCF of 8328 and 8332?
Answer:
Greatest Common Factor of 8328 and 8332 = 4
Step 1: Find the prime factorization of 8328
8328 = 2 x 2 x 2 x 3 x 347
Step 2: Find the prime factorization of 8332
8332 = 2 x 2 x 2083
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 8328 and 8332 is 4