What is the Greatest Common Factor of 44430 and 44448?

Greatest common factor (GCF) of 44430 and 44448 is 6.

GCF(44430,44448) = 6

We will now calculate the prime factors of 44430 and 44448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44430 and 44448.

How to find the GCF of 44430 and 44448?

We will first find the prime factorization of 44430 and 44448. After we will calculate the factors of 44430 and 44448 and find the biggest common factor number .

Step-1: Prime Factorization of 44430

Prime factors of 44430 are 2, 3, 5, 1481. Prime factorization of 44430 in exponential form is:

44430 = 2¹ × 3¹ × 5¹ × 1481¹

Step-2: Prime Factorization of 44448

Prime factors of 44448 are 2, 3, 463. Prime factorization of 44448 in exponential form is:

44448 = 2⁵ × 3¹ × 463¹

Step-3: Factors of 44430

List of positive integer factors of 44430 that divides 44430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1481, 2962, 4443, 7405, 8886, 14810, 22215

Step-4: Factors of 44448

List of positive integer factors of 44448 that divides 44430 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44430 and 44448. The biggest common factor number is the GCF number.
So the greatest common factor 44430 and 44448 is 6.

Also check out the Least Common Multiple of 44430 and 44448