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, 4412 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4404 and 4412 is 4.
GCF(4404,4412) = 4
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 4412
2 | 4412 |
2 | 2206 |
1103 | 1103 |
1 |
Prime factors of 4412 are 2,1103. Prime factorization of 4412 in exponential form is:
4412 = 22×11031
∴ So by taking common prime factors GCF of 4404 and 4412 is 4
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 4412
List of positive integer factors of 4412 that divides 4412 without a remainder.
1,2,4,1103,2206,4412
Greatest Common Factor
We found the factors and prime factorization of 4404 and 4412. The biggest common factor number is the GCF number.
So the greatest common factor 4404 and 4412 is 4.
Also check out the Least Common Multiple of 4404 and 4412
(i) The GCF of 4404 and 4412 is associative
GCF of 4404 and 4412 = GCF of 4412 and 4404
1. What is the GCF of 4404 and 4412?
Answer: GCF of 4404 and 4412 is 4.
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 4412?
Answer: Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. There are 6 integers that are factors of 4412. The greatest factor of 4412 is 4412.
4. How to Find the GCF of 4404 and 4412?
Answer:
Greatest Common Factor of 4404 and 4412 = 4
Step 1: Find the prime factorization of 4404
4404 = 2 x 2 x 3 x 367
Step 2: Find the prime factorization of 4412
4412 = 2 x 2 x 1103
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 4404 and 4412 is 4