What is the Greatest Common Factor of 4414 and 4428?

Greatest common factor (GCF) of 4414 and 4428 is 2.

GCF(4414,4428) = 2

We will now calculate the prime factors of 4414 and 4428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4414 and 4428.

How to find the GCF of 4414 and 4428?

We will first find the prime factorization of 4414 and 4428. After we will calculate the factors of 4414 and 4428 and find the biggest common factor number .

Step-1: Prime Factorization of 4414

Prime factors of 4414 are 2, 2207. Prime factorization of 4414 in exponential form is:

4414 = 2¹ × 2207¹

Step-2: Prime Factorization of 4428

Prime factors of 4428 are 2, 3, 41. Prime factorization of 4428 in exponential form is:

4428 = 2² × 3³ × 41¹

Step-3: Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1, 2, 2207

Step-4: Factors of 4428

List of positive integer factors of 4428 that divides 4414 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4414 and 4428. The biggest common factor number is the GCF number.
So the greatest common factor 4414 and 4428 is 2.

Also check out the Least Common Multiple of 4414 and 4428