What is the Greatest Common Factor of 81525 and 81539?

Greatest common factor (GCF) of 81525 and 81539 is 1.

GCF(81525,81539) = 1

We will now calculate the prime factors of 81525 and 81539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81525 and 81539.

How to find the GCF of 81525 and 81539?

We will first find the prime factorization of 81525 and 81539. After we will calculate the factors of 81525 and 81539 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 81539

Prime factors of 81539 are 67, 1217. Prime factorization of 81539 in exponential form is:

81539 = 67¹ × 1217¹

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 81539

List of positive integer factors of 81539 that divides 81525 without a remainder.

1, 67, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81525 and 81539. The biggest common factor number is the GCF number.
So the greatest common factor 81525 and 81539 is 1.

Also check out the Least Common Multiple of 81525 and 81539