What is the Greatest Common Factor of 36924 and 36933?

Greatest common factor (GCF) of 36924 and 36933 is 3.

GCF(36924,36933) = 3

We will now calculate the prime factors of 36924 and 36933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36924 and 36933.

How to find the GCF of 36924 and 36933?

We will first find the prime factorization of 36924 and 36933. After we will calculate the factors of 36924 and 36933 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36933

Prime factors of 36933 are 3, 13, 947. Prime factorization of 36933 in exponential form is:

36933 = 3¹ × 13¹ × 947¹

Step-3: Factors of 36924

List of positive integer factors of 36924 that divides 36924 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

Step-4: Factors of 36933

List of positive integer factors of 36933 that divides 36924 without a remainder.

1, 3, 13, 39, 947, 2841, 12311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36924 and 36933. The biggest common factor number is the GCF number.
So the greatest common factor 36924 and 36933 is 3.

Also check out the Least Common Multiple of 36924 and 36933