What is the Greatest Common Factor of 52158 and 52173?

Greatest common factor (GCF) of 52158 and 52173 is 3.

GCF(52158,52173) = 3

We will now calculate the prime factors of 52158 and 52173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52158 and 52173.

How to find the GCF of 52158 and 52173?

We will first find the prime factorization of 52158 and 52173. After we will calculate the factors of 52158 and 52173 and find the biggest common factor number .

Step-1: Prime Factorization of 52158

Prime factors of 52158 are 2, 3, 8693. Prime factorization of 52158 in exponential form is:

52158 = 2¹ × 3¹ × 8693¹

Step-2: 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-3: Factors of 52158

List of positive integer factors of 52158 that divides 52158 without a remainder.

1, 2, 3, 6, 8693, 17386, 26079

Step-4: Factors of 52173

List of positive integer factors of 52173 that divides 52158 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52158 and 52173. The biggest common factor number is the GCF number.
So the greatest common factor 52158 and 52173 is 3.

Also check out the Least Common Multiple of 52158 and 52173