What is the Greatest Common Factor of 44631 and 44650?

Greatest common factor (GCF) of 44631 and 44650 is 19.

GCF(44631,44650) = 19

We will now calculate the prime factors of 44631 and 44650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44631 and 44650.

How to find the GCF of 44631 and 44650?

We will first find the prime factorization of 44631 and 44650. After we will calculate the factors of 44631 and 44650 and find the biggest common factor number .

Step-1: Prime Factorization of 44631

Prime factors of 44631 are 3, 19, 29. Prime factorization of 44631 in exponential form is:

44631 = 3⁴ × 19¹ × 29¹

Step-2: Prime Factorization of 44650

Prime factors of 44650 are 2, 5, 19, 47. Prime factorization of 44650 in exponential form is:

44650 = 2¹ × 5² × 19¹ × 47¹

Step-3: Factors of 44631

List of positive integer factors of 44631 that divides 44631 without a remainder.

1, 3, 9, 19, 27, 29, 57, 81, 87, 171, 261, 513, 551, 783, 1539, 1653, 2349, 4959, 14877

Step-4: Factors of 44650

List of positive integer factors of 44650 that divides 44631 without a remainder.

1, 2, 5, 10, 19, 25, 38, 47, 50, 94, 95, 190, 235, 470, 475, 893, 950, 1175, 1786, 2350, 4465, 8930, 22325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44631 and 44650. The biggest common factor number is the GCF number.
So the greatest common factor 44631 and 44650 is 19.

Also check out the Least Common Multiple of 44631 and 44650