What is the Greatest Common Factor of 36912 and 36916?

Greatest common factor (GCF) of 36912 and 36916 is 4.

GCF(36912,36916) = 4

We will now calculate the prime factors of 36912 and 36916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36916.

How to find the GCF of 36912 and 36916?

We will first find the prime factorization of 36912 and 36916. After we will calculate the factors of 36912 and 36916 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 36916

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

36916 = 2² × 11¹ × 839¹

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 36916

List of positive integer factors of 36916 that divides 36912 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36916. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36916 is 4.

Also check out the Least Common Multiple of 36912 and 36916