What is the Greatest Common Factor of 23946 and 23959?

Greatest common factor (GCF) of 23946 and 23959 is 13.

GCF(23946,23959) = 13

We will now calculate the prime factors of 23946 and 23959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23946 and 23959.

How to find the GCF of 23946 and 23959?

We will first find the prime factorization of 23946 and 23959. After we will calculate the factors of 23946 and 23959 and find the biggest common factor number .

Step-1: Prime Factorization of 23946

Prime factors of 23946 are 2, 3, 13, 307. Prime factorization of 23946 in exponential form is:

23946 = 2¹ × 3¹ × 13¹ × 307¹

Step-2: Prime Factorization of 23959

Prime factors of 23959 are 13, 19, 97. Prime factorization of 23959 in exponential form is:

23959 = 13¹ × 19¹ × 97¹

Step-3: Factors of 23946

List of positive integer factors of 23946 that divides 23946 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 307, 614, 921, 1842, 3991, 7982, 11973

Step-4: Factors of 23959

List of positive integer factors of 23959 that divides 23946 without a remainder.

1, 13, 19, 97, 247, 1261, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23946 and 23959. The biggest common factor number is the GCF number.
So the greatest common factor 23946 and 23959 is 13.

Also check out the Least Common Multiple of 23946 and 23959