What is the Greatest Common Factor of 90525 and 90537?

Greatest common factor (GCF) of 90525 and 90537 is 3.

GCF(90525,90537) = 3

We will now calculate the prime factors of 90525 and 90537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90525 and 90537.

How to find the GCF of 90525 and 90537?

We will first find the prime factorization of 90525 and 90537. After we will calculate the factors of 90525 and 90537 and find the biggest common factor number .

Step-1: Prime Factorization of 90525

Prime factors of 90525 are 3, 5, 17, 71. Prime factorization of 90525 in exponential form is:

90525 = 3¹ × 5² × 17¹ × 71¹

Step-2: Prime Factorization of 90537

Prime factors of 90537 are 3, 103, 293. Prime factorization of 90537 in exponential form is:

90537 = 3¹ × 103¹ × 293¹

Step-3: Factors of 90525

List of positive integer factors of 90525 that divides 90525 without a remainder.

1, 3, 5, 15, 17, 25, 51, 71, 75, 85, 213, 255, 355, 425, 1065, 1207, 1275, 1775, 3621, 5325, 6035, 18105, 30175

Step-4: Factors of 90537

List of positive integer factors of 90537 that divides 90525 without a remainder.

1, 3, 103, 293, 309, 879, 30179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90525 and 90537. The biggest common factor number is the GCF number.
So the greatest common factor 90525 and 90537 is 3.

Also check out the Least Common Multiple of 90525 and 90537