What is the Greatest Common Factor of 23187 and 23196?

Greatest common factor (GCF) of 23187 and 23196 is 3.

GCF(23187,23196) = 3

We will now calculate the prime factors of 23187 and 23196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23187 and 23196.

How to find the GCF of 23187 and 23196?

We will first find the prime factorization of 23187 and 23196. After we will calculate the factors of 23187 and 23196 and find the biggest common factor number .

Step-1: Prime Factorization of 23187

Prime factors of 23187 are 3, 59, 131. Prime factorization of 23187 in exponential form is:

23187 = 3¹ × 59¹ × 131¹

Step-2: Prime Factorization of 23196

Prime factors of 23196 are 2, 3, 1933. Prime factorization of 23196 in exponential form is:

23196 = 2² × 3¹ × 1933¹

Step-3: Factors of 23187

List of positive integer factors of 23187 that divides 23187 without a remainder.

1, 3, 59, 131, 177, 393, 7729

Step-4: Factors of 23196

List of positive integer factors of 23196 that divides 23187 without a remainder.

1, 2, 3, 4, 6, 12, 1933, 3866, 5799, 7732, 11598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23187 and 23196. The biggest common factor number is the GCF number.
So the greatest common factor 23187 and 23196 is 3.

Also check out the Least Common Multiple of 23187 and 23196