What is the Greatest Common Factor of 36912 and 36917?

Greatest common factor (GCF) of 36912 and 36917 is 1.

GCF(36912,36917) = 1

We will now calculate the prime factors of 36912 and 36917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36917.

How to find the GCF of 36912 and 36917?

We will first find the prime factorization of 36912 and 36917. After we will calculate the factors of 36912 and 36917 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 36917

Prime factors of 36917 are 19, 29, 67. Prime factorization of 36917 in exponential form is:

36917 = 19¹ × 29¹ × 67¹

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 36917

List of positive integer factors of 36917 that divides 36912 without a remainder.

1, 19, 29, 67, 551, 1273, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36917. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36917 is 1.

Also check out the Least Common Multiple of 36912 and 36917