What is the Greatest Common Factor of 36505 and 36525?

Greatest common factor (GCF) of 36505 and 36525 is 5.

GCF(36505,36525) = 5

We will now calculate the prime factors of 36505 and 36525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36505 and 36525.

How to find the GCF of 36505 and 36525?

We will first find the prime factorization of 36505 and 36525. After we will calculate the factors of 36505 and 36525 and find the biggest common factor number .

Step-1: Prime Factorization of 36505

Prime factors of 36505 are 5, 7, 149. Prime factorization of 36505 in exponential form is:

36505 = 5¹ × 7² × 149¹

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 36505

List of positive integer factors of 36505 that divides 36505 without a remainder.

1, 5, 7, 35, 49, 149, 245, 745, 1043, 5215, 7301

Step-4: Factors of 36525

List of positive integer factors of 36525 that divides 36505 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 36505 and 36525. The biggest common factor number is the GCF number.
So the greatest common factor 36505 and 36525 is 5.

Also check out the Least Common Multiple of 36505 and 36525