What is the Greatest Common Factor of 52173 and 52188?

Greatest common factor (GCF) of 52173 and 52188 is 3.

GCF(52173,52188) = 3

We will now calculate the prime factors of 52173 and 52188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52173 and 52188.

How to find the GCF of 52173 and 52188?

We will first find the prime factorization of 52173 and 52188. After we will calculate the factors of 52173 and 52188 and find the biggest common factor number .

Step-1: Prime Factorization of 52173

Prime factors of 52173 are 3, 11, 17, 31. Prime factorization of 52173 in exponential form is:

52173 = 3² × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 52188

Prime factors of 52188 are 2, 3, 4349. Prime factorization of 52188 in exponential form is:

52188 = 2² × 3¹ × 4349¹

Step-3: Factors of 52173

List of positive integer factors of 52173 that divides 52173 without a remainder.

1, 3, 9, 11, 17, 31, 33, 51, 93, 99, 153, 187, 279, 341, 527, 561, 1023, 1581, 1683, 3069, 4743, 5797, 17391

Step-4: Factors of 52188

List of positive integer factors of 52188 that divides 52173 without a remainder.

1, 2, 3, 4, 6, 12, 4349, 8698, 13047, 17396, 26094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52173 and 52188. The biggest common factor number is the GCF number.
So the greatest common factor 52173 and 52188 is 3.

Also check out the Least Common Multiple of 52173 and 52188