What is the Greatest Common Factor of 44430 and 44440?

Greatest common factor (GCF) of 44430 and 44440 is 10.

GCF(44430,44440) = 10

We will now calculate the prime factors of 44430 and 44440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44430 and 44440.

How to find the GCF of 44430 and 44440?

We will first find the prime factorization of 44430 and 44440. After we will calculate the factors of 44430 and 44440 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 44440

Prime factors of 44440 are 2, 5, 11, 101. Prime factorization of 44440 in exponential form is:

44440 = 2³ × 5¹ × 11¹ × 101¹

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 44440

List of positive integer factors of 44440 that divides 44430 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 101, 110, 202, 220, 404, 440, 505, 808, 1010, 1111, 2020, 2222, 4040, 4444, 5555, 8888, 11110, 22220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44430 and 44440. The biggest common factor number is the GCF number.
So the greatest common factor 44430 and 44440 is 10.

Also check out the Least Common Multiple of 44430 and 44440