What is the Greatest Common Factor of 44525 and 44538?

Greatest common factor (GCF) of 44525 and 44538 is 13.

GCF(44525,44538) = 13

We will now calculate the prime factors of 44525 and 44538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44525 and 44538.

How to find the GCF of 44525 and 44538?

We will first find the prime factorization of 44525 and 44538. After we will calculate the factors of 44525 and 44538 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 44538

Prime factors of 44538 are 2, 3, 13, 571. Prime factorization of 44538 in exponential form is:

44538 = 2¹ × 3¹ × 13¹ × 571¹

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 44538

List of positive integer factors of 44538 that divides 44525 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 571, 1142, 1713, 3426, 7423, 14846, 22269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44525 and 44538. The biggest common factor number is the GCF number.
So the greatest common factor 44525 and 44538 is 13.

Also check out the Least Common Multiple of 44525 and 44538