What is the Greatest Common Factor of 36525 and 36532?

Greatest common factor (GCF) of 36525 and 36532 is 1.

GCF(36525,36532) = 1

We will now calculate the prime factors of 36525 and 36532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36525 and 36532.

How to find the GCF of 36525 and 36532?

We will first find the prime factorization of 36525 and 36532. After we will calculate the factors of 36525 and 36532 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 36532

Prime factors of 36532 are 2, 9133. Prime factorization of 36532 in exponential form is:

36532 = 2² × 9133¹

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 36532

List of positive integer factors of 36532 that divides 36525 without a remainder.

1, 2, 4, 9133, 18266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36525 and 36532. The biggest common factor number is the GCF number.
So the greatest common factor 36525 and 36532 is 1.

Also check out the Least Common Multiple of 36525 and 36532