What is the Greatest Common Factor of 36912 and 36929?

Greatest common factor (GCF) of 36912 and 36929 is 1.

GCF(36912,36929) = 1

We will now calculate the prime factors of 36912 and 36929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36929.

How to find the GCF of 36912 and 36929?

We will first find the prime factorization of 36912 and 36929. After we will calculate the factors of 36912 and 36929 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 36929

Prime factors of 36929 are 36929. Prime factorization of 36929 in exponential form is:

36929 = 36929¹

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 36929

List of positive integer factors of 36929 that divides 36912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36929. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36929 is 1.

Also check out the Least Common Multiple of 36912 and 36929