What is the Greatest Common Factor of 36525 and 36539?

Greatest common factor (GCF) of 36525 and 36539 is 1.

GCF(36525,36539) = 1

We will now calculate the prime factors of 36525 and 36539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36525 and 36539.

How to find the GCF of 36525 and 36539?

We will first find the prime factorization of 36525 and 36539. After we will calculate the factors of 36525 and 36539 and find the biggest common factor number .

Step-1: Prime Factorization of 36525

Prime factors of 36525 are 3, 5, 487. Prime factorization of 36525 in exponential form is:

36525 = 3¹ × 5² × 487¹

Step-2: Prime Factorization of 36539

Prime factors of 36539 are 61, 599. Prime factorization of 36539 in exponential form is:

36539 = 61¹ × 599¹

Step-3: Factors of 36525

List of positive integer factors of 36525 that divides 36525 without a remainder.

1, 3, 5, 15, 25, 75, 487, 1461, 2435, 7305, 12175

Step-4: Factors of 36539

List of positive integer factors of 36539 that divides 36525 without a remainder.

1, 61, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36525 and 36539. The biggest common factor number is the GCF number.
So the greatest common factor 36525 and 36539 is 1.

Also check out the Least Common Multiple of 36525 and 36539