What is the Greatest Common Factor of 36915 and 36922?

Greatest common factor (GCF) of 36915 and 36922 is 1.

GCF(36915,36922) = 1

We will now calculate the prime factors of 36915 and 36922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36915 and 36922.

How to find the GCF of 36915 and 36922?

We will first find the prime factorization of 36915 and 36922. After we will calculate the factors of 36915 and 36922 and find the biggest common factor number .

Step-1: Prime Factorization of 36915

Prime factors of 36915 are 3, 5, 23, 107. Prime factorization of 36915 in exponential form is:

36915 = 3¹ × 5¹ × 23¹ × 107¹

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 36915

List of positive integer factors of 36915 that divides 36915 without a remainder.

1, 3, 5, 15, 23, 69, 107, 115, 321, 345, 535, 1605, 2461, 7383, 12305

Step-4: Factors of 36922

List of positive integer factors of 36922 that divides 36915 without a remainder.

1, 2, 18461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36915 and 36922. The biggest common factor number is the GCF number.
So the greatest common factor 36915 and 36922 is 1.

Also check out the Least Common Multiple of 36915 and 36922