What is the Greatest Common Factor of 36909 and 36922?

Greatest common factor (GCF) of 36909 and 36922 is 1.

GCF(36909,36922) = 1

We will now calculate the prime factors of 36909 and 36922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36909 and 36922.

How to find the GCF of 36909 and 36922?

We will first find the prime factorization of 36909 and 36922. After we will calculate the factors of 36909 and 36922 and find the biggest common factor number .

Step-1: Prime Factorization of 36909

Prime factors of 36909 are 3, 1367. Prime factorization of 36909 in exponential form is:

36909 = 3³ × 1367¹

Step-2: Prime Factorization of 36922

Prime factors of 36922 are 2, 18461. Prime factorization of 36922 in exponential form is:

36922 = 2¹ × 18461¹

Step-3: Factors of 36909

List of positive integer factors of 36909 that divides 36909 without a remainder.

1, 3, 9, 27, 1367, 4101, 12303

Step-4: Factors of 36922

List of positive integer factors of 36922 that divides 36909 without a remainder.

1, 2, 18461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36909 and 36922. The biggest common factor number is the GCF number.
So the greatest common factor 36909 and 36922 is 1.

Also check out the Least Common Multiple of 36909 and 36922