What is the Greatest Common Factor of 36912 and 36919?

Greatest common factor (GCF) of 36912 and 36919 is 1.

GCF(36912,36919) = 1

We will now calculate the prime factors of 36912 and 36919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36919.

How to find the GCF of 36912 and 36919?

We will first find the prime factorization of 36912 and 36919. After we will calculate the factors of 36912 and 36919 and find the biggest common factor number .

Step-1: Prime Factorization of 36912

Prime factors of 36912 are 2, 3, 769. Prime factorization of 36912 in exponential form is:

36912 = 2⁴ × 3¹ × 769¹

Step-2: Prime Factorization of 36919

Prime factors of 36919 are 36919. Prime factorization of 36919 in exponential form is:

36919 = 36919¹

Step-3: Factors of 36912

List of positive integer factors of 36912 that divides 36912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 769, 1538, 2307, 3076, 4614, 6152, 9228, 12304, 18456

Step-4: Factors of 36919

List of positive integer factors of 36919 that divides 36912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36919. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36919 is 1.

Also check out the Least Common Multiple of 36912 and 36919