What is the Greatest Common Factor of 81525 and 81537?

Greatest common factor (GCF) of 81525 and 81537 is 3.

GCF(81525,81537) = 3

We will now calculate the prime factors of 81525 and 81537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81525 and 81537.

How to find the GCF of 81525 and 81537?

We will first find the prime factorization of 81525 and 81537. After we will calculate the factors of 81525 and 81537 and find the biggest common factor number .

Step-1: Prime Factorization of 81525

Prime factors of 81525 are 3, 5, 1087. Prime factorization of 81525 in exponential form is:

81525 = 3¹ × 5² × 1087¹

Step-2: Prime Factorization of 81537

Prime factors of 81537 are 3, 27179. Prime factorization of 81537 in exponential form is:

81537 = 3¹ × 27179¹

Step-3: Factors of 81525

List of positive integer factors of 81525 that divides 81525 without a remainder.

1, 3, 5, 15, 25, 75, 1087, 3261, 5435, 16305, 27175

Step-4: Factors of 81537

List of positive integer factors of 81537 that divides 81525 without a remainder.

1, 3, 27179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81525 and 81537. The biggest common factor number is the GCF number.
So the greatest common factor 81525 and 81537 is 3.

Also check out the Least Common Multiple of 81525 and 81537