What is the Greatest Common Factor of 44525 and 44530?

Greatest common factor (GCF) of 44525 and 44530 is 5.

GCF(44525,44530) = 5

We will now calculate the prime factors of 44525 and 44530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44525 and 44530.

How to find the GCF of 44525 and 44530?

We will first find the prime factorization of 44525 and 44530. After we will calculate the factors of 44525 and 44530 and find the biggest common factor number .

Step-1: Prime Factorization of 44525

Prime factors of 44525 are 5, 13, 137. Prime factorization of 44525 in exponential form is:

44525 = 5² × 13¹ × 137¹

Step-2: 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-3: Factors of 44525

List of positive integer factors of 44525 that divides 44525 without a remainder.

1, 5, 13, 25, 65, 137, 325, 685, 1781, 3425, 8905

Step-4: Factors of 44530

List of positive integer factors of 44530 that divides 44525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44525 and 44530. The biggest common factor number is the GCF number.
So the greatest common factor 44525 and 44530 is 5.

Also check out the Least Common Multiple of 44525 and 44530