What is the Greatest Common Factor of 36912 and 36924?

Greatest common factor (GCF) of 36912 and 36924 is 12.

GCF(36912,36924) = 12

We will now calculate the prime factors of 36912 and 36924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36924.

How to find the GCF of 36912 and 36924?

We will first find the prime factorization of 36912 and 36924. After we will calculate the factors of 36912 and 36924 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 36924

Prime factors of 36924 are 2, 3, 17, 181. Prime factorization of 36924 in exponential form is:

36924 = 2² × 3¹ × 17¹ × 181¹

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 36924

List of positive integer factors of 36924 that divides 36912 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 181, 204, 362, 543, 724, 1086, 2172, 3077, 6154, 9231, 12308, 18462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36924. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36924 is 12.

Also check out the Least Common Multiple of 36912 and 36924