What is the Greatest Common Factor of 4428 and 4436?

Greatest common factor (GCF) of 4428 and 4436 is 4.

GCF(4428,4436) = 4

We will now calculate the prime factors of 4428 and 4436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4428 and 4436.

How to find the GCF of 4428 and 4436?

We will first find the prime factorization of 4428 and 4436. After we will calculate the factors of 4428 and 4436 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4436

Prime factors of 4436 are 2, 1109. Prime factorization of 4436 in exponential form is:

4436 = 2² × 1109¹

Step-3: Factors of 4428

List of positive integer factors of 4428 that divides 4428 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

Step-4: Factors of 4436

List of positive integer factors of 4436 that divides 4428 without a remainder.

1, 2, 4, 1109, 2218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4428 and 4436. The biggest common factor number is the GCF number.
So the greatest common factor 4428 and 4436 is 4.

Also check out the Least Common Multiple of 4428 and 4436