What is the Greatest Common Factor of 44690 and 44700?

Greatest common factor (GCF) of 44690 and 44700 is 10.

GCF(44690,44700) = 10

We will now calculate the prime factors of 44690 and 44700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44690 and 44700.

How to find the GCF of 44690 and 44700?

We will first find the prime factorization of 44690 and 44700. After we will calculate the factors of 44690 and 44700 and find the biggest common factor number .

Step-1: Prime Factorization of 44690

Prime factors of 44690 are 2, 5, 41, 109. Prime factorization of 44690 in exponential form is:

44690 = 2¹ × 5¹ × 41¹ × 109¹

Step-2: Prime Factorization of 44700

Prime factors of 44700 are 2, 3, 5, 149. Prime factorization of 44700 in exponential form is:

44700 = 2² × 3¹ × 5² × 149¹

Step-3: Factors of 44690

List of positive integer factors of 44690 that divides 44690 without a remainder.

1, 2, 5, 10, 41, 82, 109, 205, 218, 410, 545, 1090, 4469, 8938, 22345

Step-4: Factors of 44700

List of positive integer factors of 44700 that divides 44690 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 149, 150, 298, 300, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 3725, 4470, 7450, 8940, 11175, 14900, 22350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44690 and 44700. The biggest common factor number is the GCF number.
So the greatest common factor 44690 and 44700 is 10.

Also check out the Least Common Multiple of 44690 and 44700