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 4437, 4443 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4437 and 4443 is 3.
GCF(4437,4443) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4437
3 | 4437 |
3 | 1479 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 4437 are 3,17,29. Prime factorization of 4437 in exponential form is:
4437 = 32×171×291
Prime Factorization of 4443
3 | 4443 |
1481 | 1481 |
1 |
Prime factors of 4443 are 3,1481. Prime factorization of 4443 in exponential form is:
4443 = 31×14811
∴ So by taking common prime factors GCF of 4437 and 4443 is 3
Factors of 4437
List of positive integer factors of 4437 that divides 4437 without a remainder.
1,3,9,17,29,51,87,153,261,493,1479,4437
Factors of 4443
List of positive integer factors of 4443 that divides 4443 without a remainder.
1,3,1481,4443
Greatest Common Factor
We found the factors and prime factorization of 4437 and 4443. The biggest common factor number is the GCF number.
So the greatest common factor 4437 and 4443 is 3.
Also check out the Least Common Multiple of 4437 and 4443
(i) The GCF of 4437 and 4443 is associative
GCF of 4437 and 4443 = GCF of 4443 and 4437
1. What is the GCF of 4437 and 4443?
Answer: GCF of 4437 and 4443 is 3.
2. What are the Factors of 4437?
Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.
3. What are the Factors of 4443?
Answer: Factors of 4443 are 1, 3, 1481, 4443. There are 4 integers that are factors of 4443. The greatest factor of 4443 is 4443.
4. How to Find the GCF of 4437 and 4443?
Answer:
Greatest Common Factor of 4437 and 4443 = 3
Step 1: Find the prime factorization of 4437
4437 = 3 x 3 x 17 x 29
Step 2: Find the prime factorization of 4443
4443 = 3 x 1481
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 4437 and 4443 is 3