What is the Greatest Common Factor of 36677 and 36681?

Greatest common factor (GCF) of 36677 and 36681 is 1.

GCF(36677,36681) = 1

We will now calculate the prime factors of 36677 and 36681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36677 and 36681.

How to find the GCF of 36677 and 36681?

We will first find the prime factorization of 36677 and 36681. After we will calculate the factors of 36677 and 36681 and find the biggest common factor number .

Step-1: Prime Factorization of 36677

Prime factors of 36677 are 36677. Prime factorization of 36677 in exponential form is:

36677 = 36677¹

Step-2: Prime Factorization of 36681

Prime factors of 36681 are 3, 12227. Prime factorization of 36681 in exponential form is:

36681 = 3¹ × 12227¹

Step-3: Factors of 36677

List of positive integer factors of 36677 that divides 36677 without a remainder.

Step-4: Factors of 36681

List of positive integer factors of 36681 that divides 36677 without a remainder.

1, 3, 12227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36677 and 36681. The biggest common factor number is the GCF number.
So the greatest common factor 36677 and 36681 is 1.

Also check out the Least Common Multiple of 36677 and 36681