What is the Greatest Common Factor of 4440 and 4444?

Greatest common factor (GCF) of 4440 and 4444 is 4.

GCF(4440,4444) = 4

We will now calculate the prime factors of 4440 and 4444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4440 and 4444.

How to find the GCF of 4440 and 4444?

We will first find the prime factorization of 4440 and 4444. After we will calculate the factors of 4440 and 4444 and find the biggest common factor number .

Step-1: Prime Factorization of 4440

Prime factors of 4440 are 2, 3, 5, 37. Prime factorization of 4440 in exponential form is:

4440 = 2³ × 3¹ × 5¹ × 37¹

Step-2: Prime Factorization of 4444

Prime factors of 4444 are 2, 11, 101. Prime factorization of 4444 in exponential form is:

4444 = 2² × 11¹ × 101¹

Step-3: Factors of 4440

List of positive integer factors of 4440 that divides 4440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220

Step-4: Factors of 4444

List of positive integer factors of 4444 that divides 4440 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4440 and 4444. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4444 is 4.

Also check out the Least Common Multiple of 4440 and 4444