What is the Greatest Common Factor of 36306 and 36325?

Greatest common factor (GCF) of 36306 and 36325 is 1.

GCF(36306,36325) = 1

We will now calculate the prime factors of 36306 and 36325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36306 and 36325.

How to find the GCF of 36306 and 36325?

We will first find the prime factorization of 36306 and 36325. After we will calculate the factors of 36306 and 36325 and find the biggest common factor number .

Step-1: Prime Factorization of 36306

Prime factors of 36306 are 2, 3, 2017. Prime factorization of 36306 in exponential form is:

36306 = 2¹ × 3² × 2017¹

Step-2: Prime Factorization of 36325

Prime factors of 36325 are 5, 1453. Prime factorization of 36325 in exponential form is:

36325 = 5² × 1453¹

Step-3: Factors of 36306

List of positive integer factors of 36306 that divides 36306 without a remainder.

1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153

Step-4: Factors of 36325

List of positive integer factors of 36325 that divides 36306 without a remainder.

1, 5, 25, 1453, 7265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36306 and 36325. The biggest common factor number is the GCF number.
So the greatest common factor 36306 and 36325 is 1.

Also check out the Least Common Multiple of 36306 and 36325