What is the Greatest Common Factor of 23187 and 23202?

Greatest common factor (GCF) of 23187 and 23202 is 3.

GCF(23187,23202) = 3

We will now calculate the prime factors of 23187 and 23202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23187 and 23202.

How to find the GCF of 23187 and 23202?

We will first find the prime factorization of 23187 and 23202. After we will calculate the factors of 23187 and 23202 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 23202

Prime factors of 23202 are 2, 3, 1289. Prime factorization of 23202 in exponential form is:

23202 = 2¹ × 3² × 1289¹

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 23202

List of positive integer factors of 23202 that divides 23187 without a remainder.

1, 2, 3, 6, 9, 18, 1289, 2578, 3867, 7734, 11601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23187 and 23202. The biggest common factor number is the GCF number.
So the greatest common factor 23187 and 23202 is 3.

Also check out the Least Common Multiple of 23187 and 23202