What is the Greatest Common Factor of 4440 and 4446?

Greatest common factor (GCF) of 4440 and 4446 is 6.

GCF(4440,4446) = 6

We will now calculate the prime factors of 4440 and 4446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4440 and 4446.

How to find the GCF of 4440 and 4446?

We will first find the prime factorization of 4440 and 4446. After we will calculate the factors of 4440 and 4446 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 4446

Prime factors of 4446 are 2, 3, 13, 19. Prime factorization of 4446 in exponential form is:

4446 = 2¹ × 3² × 13¹ × 19¹

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 4446

List of positive integer factors of 4446 that divides 4440 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4440 and 4446. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4446 is 6.

Also check out the Least Common Multiple of 4440 and 4446