What is the Greatest Common Factor of 12921 and 12933?

Greatest common factor (GCF) of 12921 and 12933 is 3.

GCF(12921,12933) = 3

We will now calculate the prime factors of 12921 and 12933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12921 and 12933.

How to find the GCF of 12921 and 12933?

We will first find the prime factorization of 12921 and 12933. After we will calculate the factors of 12921 and 12933 and find the biggest common factor number .

Step-1: Prime Factorization of 12921

Prime factors of 12921 are 3, 59, 73. Prime factorization of 12921 in exponential form is:

12921 = 3¹ × 59¹ × 73¹

Step-2: Prime Factorization of 12933

Prime factors of 12933 are 3, 479. Prime factorization of 12933 in exponential form is:

12933 = 3³ × 479¹

Step-3: Factors of 12921

List of positive integer factors of 12921 that divides 12921 without a remainder.

1, 3, 59, 73, 177, 219, 4307

Step-4: Factors of 12933

List of positive integer factors of 12933 that divides 12921 without a remainder.

1, 3, 9, 27, 479, 1437, 4311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12921 and 12933. The biggest common factor number is the GCF number.
So the greatest common factor 12921 and 12933 is 3.

Also check out the Least Common Multiple of 12921 and 12933