What is the Greatest Common Factor of 44525 and 44545?

Greatest common factor (GCF) of 44525 and 44545 is 5.

GCF(44525,44545) = 5

We will now calculate the prime factors of 44525 and 44545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44525 and 44545.

How to find the GCF of 44525 and 44545?

We will first find the prime factorization of 44525 and 44545. After we will calculate the factors of 44525 and 44545 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 44545

Prime factors of 44545 are 5, 59, 151. Prime factorization of 44545 in exponential form is:

44545 = 5¹ × 59¹ × 151¹

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 44545

List of positive integer factors of 44545 that divides 44525 without a remainder.

1, 5, 59, 151, 295, 755, 8909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44525 and 44545. The biggest common factor number is the GCF number.
So the greatest common factor 44525 and 44545 is 5.

Also check out the Least Common Multiple of 44525 and 44545