What is the Greatest Common Factor of 15933 and 15939?

Greatest common factor (GCF) of 15933 and 15939 is 3.

GCF(15933,15939) = 3

We will now calculate the prime factors of 15933 and 15939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15933 and 15939.

How to find the GCF of 15933 and 15939?

We will first find the prime factorization of 15933 and 15939. After we will calculate the factors of 15933 and 15939 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15939

Prime factors of 15939 are 3, 7, 11, 23. Prime factorization of 15939 in exponential form is:

15939 = 3² × 7¹ × 11¹ × 23¹

Step-3: Factors of 15933

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

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

Step-4: Factors of 15939

List of positive integer factors of 15939 that divides 15933 without a remainder.

1, 3, 7, 9, 11, 21, 23, 33, 63, 69, 77, 99, 161, 207, 231, 253, 483, 693, 759, 1449, 1771, 2277, 5313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15933 and 15939. The biggest common factor number is the GCF number.
So the greatest common factor 15933 and 15939 is 3.

Also check out the Least Common Multiple of 15933 and 15939