What is the Greatest Common Factor of 36681 and 36699?

Greatest common factor (GCF) of 36681 and 36699 is 3.

GCF(36681,36699) = 3

We will now calculate the prime factors of 36681 and 36699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36681 and 36699.

How to find the GCF of 36681 and 36699?

We will first find the prime factorization of 36681 and 36699. After we will calculate the factors of 36681 and 36699 and find the biggest common factor number .

Step-1: Prime Factorization of 36681

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

36681 = 3¹ × 12227¹

Step-2: Prime Factorization of 36699

Prime factors of 36699 are 3, 13, 941. Prime factorization of 36699 in exponential form is:

36699 = 3¹ × 13¹ × 941¹

Step-3: Factors of 36681

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

1, 3, 12227

Step-4: Factors of 36699

List of positive integer factors of 36699 that divides 36681 without a remainder.

1, 3, 13, 39, 941, 2823, 12233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36681 and 36699. The biggest common factor number is the GCF number.
So the greatest common factor 36681 and 36699 is 3.

Also check out the Least Common Multiple of 36681 and 36699