What is the Greatest Common Factor of 4428 and 4434?

Greatest common factor (GCF) of 4428 and 4434 is 6.

GCF(4428,4434) = 6

We will now calculate the prime factors of 4428 and 4434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4428 and 4434.

How to find the GCF of 4428 and 4434?

We will first find the prime factorization of 4428 and 4434. After we will calculate the factors of 4428 and 4434 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 4434

Prime factors of 4434 are 2, 3, 739. Prime factorization of 4434 in exponential form is:

4434 = 2¹ × 3¹ × 739¹

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 4434

List of positive integer factors of 4434 that divides 4428 without a remainder.

1, 2, 3, 6, 739, 1478, 2217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4428 and 4434. The biggest common factor number is the GCF number.
So the greatest common factor 4428 and 4434 is 6.

Also check out the Least Common Multiple of 4428 and 4434