What is the Greatest Common Factor of 44530 and 44550?

Greatest common factor (GCF) of 44530 and 44550 is 10.

GCF(44530,44550) = 10

We will now calculate the prime factors of 44530 and 44550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44530 and 44550.

How to find the GCF of 44530 and 44550?

We will first find the prime factorization of 44530 and 44550. After we will calculate the factors of 44530 and 44550 and find the biggest common factor number .

Step-1: Prime Factorization of 44530

Prime factors of 44530 are 2, 5, 61, 73. Prime factorization of 44530 in exponential form is:

44530 = 2¹ × 5¹ × 61¹ × 73¹

Step-2: Prime Factorization of 44550

Prime factors of 44550 are 2, 3, 5, 11. Prime factorization of 44550 in exponential form is:

44550 = 2¹ × 3⁴ × 5² × 11¹

Step-3: Factors of 44530

List of positive integer factors of 44530 that divides 44530 without a remainder.

1, 2, 5, 10, 61, 73, 122, 146, 305, 365, 610, 730, 4453, 8906, 22265

Step-4: Factors of 44550

List of positive integer factors of 44550 that divides 44530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45, 50, 54, 55, 66, 75, 81, 90, 99, 110, 135, 150, 162, 165, 198, 225, 270, 275, 297, 330, 405, 450, 495, 550, 594, 675, 810, 825, 891, 990, 1350, 1485, 1650, 1782, 2025, 2475, 2970, 4050, 4455, 4950, 7425, 8910, 14850, 22275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44530 and 44550. The biggest common factor number is the GCF number.
So the greatest common factor 44530 and 44550 is 10.

Also check out the Least Common Multiple of 44530 and 44550