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 4404, 4406 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4404 and 4406 is 2.
GCF(4404,4406) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4404
2 | 4404 |
2 | 2202 |
3 | 1101 |
367 | 367 |
1 |
Prime factors of 4404 are 2,3,367. Prime factorization of 4404 in exponential form is:
4404 = 22×31×3671
Prime Factorization of 4406
2 | 4406 |
2203 | 2203 |
1 |
Prime factors of 4406 are 2,2203. Prime factorization of 4406 in exponential form is:
4406 = 21×22031
∴ So by taking common prime factors GCF of 4404 and 4406 is 2
Factors of 4404
List of positive integer factors of 4404 that divides 4404 without a remainder.
1,2,3,4,6,12,367,734,1101,1468,2202,4404
Factors of 4406
List of positive integer factors of 4406 that divides 4406 without a remainder.
1,2,2203,4406
Greatest Common Factor
We found the factors and prime factorization of 4404 and 4406. The biggest common factor number is the GCF number.
So the greatest common factor 4404 and 4406 is 2.
Also check out the Least Common Multiple of 4404 and 4406
(i) The GCF of 4404 and 4406 is associative
GCF of 4404 and 4406 = GCF of 4406 and 4404
1. What is the GCF of 4404 and 4406?
Answer: GCF of 4404 and 4406 is 2.
2. What are the Factors of 4404?
Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.
3. What are the Factors of 4406?
Answer: Factors of 4406 are 1, 2, 2203, 4406. There are 4 integers that are factors of 4406. The greatest factor of 4406 is 4406.
4. How to Find the GCF of 4404 and 4406?
Answer:
Greatest Common Factor of 4404 and 4406 = 2
Step 1: Find the prime factorization of 4404
4404 = 2 x 2 x 3 x 367
Step 2: Find the prime factorization of 4406
4406 = 2 x 2203
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 4404 and 4406 is 2