What is the Greatest Common Factor of 4404 and 4415?

Greatest common factor (GCF) of 4404 and 4415 is 1.

GCF(4404,4415) = 1

We will now calculate the prime factors of 4404 and 4415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4404 and 4415.

How to find the GCF of 4404 and 4415?

We will first find the prime factorization of 4404 and 4415. After we will calculate the factors of 4404 and 4415 and find the biggest common factor number .

Step-1: Prime Factorization of 4404

Prime factors of 4404 are 2, 3, 367. Prime factorization of 4404 in exponential form is:

4404 = 2² × 3¹ × 367¹

Step-2: Prime Factorization of 4415

Prime factors of 4415 are 5, 883. Prime factorization of 4415 in exponential form is:

4415 = 5¹ × 883¹

Step-3: 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

Step-4: Factors of 4415

List of positive integer factors of 4415 that divides 4404 without a remainder.

1, 5, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4404 and 4415. The biggest common factor number is the GCF number.
So the greatest common factor 4404 and 4415 is 1.

Also check out the Least Common Multiple of 4404 and 4415