What is the Greatest Common Factor of 4404 and 4412?

Greatest common factor (GCF) of 4404 and 4412 is 4.

GCF(4404,4412) = 4

We will now calculate the prime factors of 4404 and 4412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4404 and 4412.

How to find the GCF of 4404 and 4412?

We will first find the prime factorization of 4404 and 4412. After we will calculate the factors of 4404 and 4412 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 4412

Prime factors of 4412 are 2, 1103. Prime factorization of 4412 in exponential form is:

4412 = 2² × 1103¹

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 4412

List of positive integer factors of 4412 that divides 4404 without a remainder.

1, 2, 4, 1103, 2206

Final Step: Biggest Common Factor Number

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