What is the Greatest Common Factor of 36525 and 36530?

Greatest common factor (GCF) of 36525 and 36530 is 5.

GCF(36525,36530) = 5

We will now calculate the prime factors of 36525 and 36530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36525 and 36530.

How to find the GCF of 36525 and 36530?

We will first find the prime factorization of 36525 and 36530. After we will calculate the factors of 36525 and 36530 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 36530

Prime factors of 36530 are 2, 5, 13, 281. Prime factorization of 36530 in exponential form is:

36530 = 2¹ × 5¹ × 13¹ × 281¹

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 36530

List of positive integer factors of 36530 that divides 36525 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 281, 562, 1405, 2810, 3653, 7306, 18265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36525 and 36530. The biggest common factor number is the GCF number.
So the greatest common factor 36525 and 36530 is 5.

Also check out the Least Common Multiple of 36525 and 36530