What is the Greatest Common Factor of 15924 and 15933?

Greatest common factor (GCF) of 15924 and 15933 is 3.

GCF(15924,15933) = 3

We will now calculate the prime factors of 15924 and 15933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15924 and 15933.

How to find the GCF of 15924 and 15933?

We will first find the prime factorization of 15924 and 15933. After we will calculate the factors of 15924 and 15933 and find the biggest common factor number .

Step-1: Prime Factorization of 15924

Prime factors of 15924 are 2, 3, 1327. Prime factorization of 15924 in exponential form is:

15924 = 2² × 3¹ × 1327¹

Step-2: Prime Factorization of 15933

Prime factors of 15933 are 3, 47, 113. Prime factorization of 15933 in exponential form is:

15933 = 3¹ × 47¹ × 113¹

Step-3: Factors of 15924

List of positive integer factors of 15924 that divides 15924 without a remainder.

1, 2, 3, 4, 6, 12, 1327, 2654, 3981, 5308, 7962

Step-4: Factors of 15933

List of positive integer factors of 15933 that divides 15924 without a remainder.

1, 3, 47, 113, 141, 339, 5311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15924 and 15933. The biggest common factor number is the GCF number.
So the greatest common factor 15924 and 15933 is 3.

Also check out the Least Common Multiple of 15924 and 15933