What is the Greatest Common Factor of 36916 and 36923?

Greatest common factor (GCF) of 36916 and 36923 is 1.

GCF(36916,36923) = 1

We will now calculate the prime factors of 36916 and 36923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36916 and 36923.

How to find the GCF of 36916 and 36923?

We will first find the prime factorization of 36916 and 36923. After we will calculate the factors of 36916 and 36923 and find the biggest common factor number .

Step-1: Prime Factorization of 36916

Prime factors of 36916 are 2, 11, 839. Prime factorization of 36916 in exponential form is:

36916 = 2² × 11¹ × 839¹

Step-2: Prime Factorization of 36923

Prime factors of 36923 are 36923. Prime factorization of 36923 in exponential form is:

36923 = 36923¹

Step-3: Factors of 36916

List of positive integer factors of 36916 that divides 36916 without a remainder.

1, 2, 4, 11, 22, 44, 839, 1678, 3356, 9229, 18458

Step-4: Factors of 36923

List of positive integer factors of 36923 that divides 36916 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36916 and 36923. The biggest common factor number is the GCF number.
So the greatest common factor 36916 and 36923 is 1.

Also check out the Least Common Multiple of 36916 and 36923