What is the Greatest Common Factor of 36305 and 36313?

Greatest common factor (GCF) of 36305 and 36313 is 1.

GCF(36305,36313) = 1

We will now calculate the prime factors of 36305 and 36313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36305 and 36313.

How to find the GCF of 36305 and 36313?

We will first find the prime factorization of 36305 and 36313. After we will calculate the factors of 36305 and 36313 and find the biggest common factor number .

Step-1: Prime Factorization of 36305

Prime factors of 36305 are 5, 53, 137. Prime factorization of 36305 in exponential form is:

36305 = 5¹ × 53¹ × 137¹

Step-2: Prime Factorization of 36313

Prime factors of 36313 are 36313. Prime factorization of 36313 in exponential form is:

36313 = 36313¹

Step-3: Factors of 36305

List of positive integer factors of 36305 that divides 36305 without a remainder.

1, 5, 53, 137, 265, 685, 7261

Step-4: Factors of 36313

List of positive integer factors of 36313 that divides 36305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36305 and 36313. The biggest common factor number is the GCF number.
So the greatest common factor 36305 and 36313 is 1.

Also check out the Least Common Multiple of 36305 and 36313