What is the Greatest Common Factor of 36510 and 36525?

Greatest common factor (GCF) of 36510 and 36525 is 15.

GCF(36510,36525) = 15

We will now calculate the prime factors of 36510 and 36525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36510 and 36525.

How to find the GCF of 36510 and 36525?

We will first find the prime factorization of 36510 and 36525. After we will calculate the factors of 36510 and 36525 and find the biggest common factor number .

Step-1: Prime Factorization of 36510

Prime factors of 36510 are 2, 3, 5, 1217. Prime factorization of 36510 in exponential form is:

36510 = 2¹ × 3¹ × 5¹ × 1217¹

Step-2: 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-3: Factors of 36510

List of positive integer factors of 36510 that divides 36510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1217, 2434, 3651, 6085, 7302, 12170, 18255

Step-4: Factors of 36525

List of positive integer factors of 36525 that divides 36510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36510 and 36525. The biggest common factor number is the GCF number.
So the greatest common factor 36510 and 36525 is 15.

Also check out the Least Common Multiple of 36510 and 36525