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 4329, 4332 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4329 and 4332 is 3.
GCF(4329,4332) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4329
3 | 4329 |
3 | 1443 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 4329 are 3,13,37. Prime factorization of 4329 in exponential form is:
4329 = 32×131×371
Prime Factorization of 4332
2 | 4332 |
2 | 2166 |
3 | 1083 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 4332 are 2,3,19. Prime factorization of 4332 in exponential form is:
4332 = 22×31×192
∴ So by taking common prime factors GCF of 4329 and 4332 is 3
Factors of 4329
List of positive integer factors of 4329 that divides 4329 without a remainder.
1,3,9,13,37,39,111,117,333,481,1443,4329
Factors of 4332
List of positive integer factors of 4332 that divides 4332 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors and prime factorization of 4329 and 4332. The biggest common factor number is the GCF number.
So the greatest common factor 4329 and 4332 is 3.
Also check out the Least Common Multiple of 4329 and 4332
(i) The GCF of 4329 and 4332 is associative
GCF of 4329 and 4332 = GCF of 4332 and 4329
1. What is the GCF of 4329 and 4332?
Answer: GCF of 4329 and 4332 is 3.
2. What are the Factors of 4329?
Answer: Factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329. There are 12 integers that are factors of 4329. The greatest factor of 4329 is 4329.
3. What are the Factors of 4332?
Answer: Factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332. There are 18 integers that are factors of 4332. The greatest factor of 4332 is 4332.
4. How to Find the GCF of 4329 and 4332?
Answer:
Greatest Common Factor of 4329 and 4332 = 3
Step 1: Find the prime factorization of 4329
4329 = 3 x 3 x 13 x 37
Step 2: Find the prime factorization of 4332
4332 = 2 x 2 x 3 x 19 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4329 and 4332 is 3