What is the Greatest Common Factor of 27924 and 27933?

Greatest common factor (GCF) of 27924 and 27933 is 3.

GCF(27924,27933) = 3

We will now calculate the prime factors of 27924 and 27933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27924 and 27933.

How to find the GCF of 27924 and 27933?

We will first find the prime factorization of 27924 and 27933. After we will calculate the factors of 27924 and 27933 and find the biggest common factor number .

Step-1: Prime Factorization of 27924

Prime factors of 27924 are 2, 3, 13, 179. Prime factorization of 27924 in exponential form is:

27924 = 2² × 3¹ × 13¹ × 179¹

Step-2: Prime Factorization of 27933

Prime factors of 27933 are 3, 9311. Prime factorization of 27933 in exponential form is:

27933 = 3¹ × 9311¹

Step-3: Factors of 27924

List of positive integer factors of 27924 that divides 27924 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 179, 358, 537, 716, 1074, 2148, 2327, 4654, 6981, 9308, 13962

Step-4: Factors of 27933

List of positive integer factors of 27933 that divides 27924 without a remainder.

1, 3, 9311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27924 and 27933. The biggest common factor number is the GCF number.
So the greatest common factor 27924 and 27933 is 3.

Also check out the Least Common Multiple of 27924 and 27933