What is the Greatest Common Factor of 93243 and 93258?

Greatest common factor (GCF) of 93243 and 93258 is 3.

GCF(93243,93258) = 3

We will now calculate the prime factors of 93243 and 93258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93243 and 93258.

How to find the GCF of 93243 and 93258?

We will first find the prime factorization of 93243 and 93258. After we will calculate the factors of 93243 and 93258 and find the biggest common factor number .

Step-1: Prime Factorization of 93243

Prime factors of 93243 are 3, 31081. Prime factorization of 93243 in exponential form is:

93243 = 3¹ × 31081¹

Step-2: Prime Factorization of 93258

Prime factors of 93258 are 2, 3, 11, 157. Prime factorization of 93258 in exponential form is:

93258 = 2¹ × 3³ × 11¹ × 157¹

Step-3: Factors of 93243

List of positive integer factors of 93243 that divides 93243 without a remainder.

1, 3, 31081

Step-4: Factors of 93258

List of positive integer factors of 93258 that divides 93243 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 157, 198, 297, 314, 471, 594, 942, 1413, 1727, 2826, 3454, 4239, 5181, 8478, 10362, 15543, 31086, 46629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93243 and 93258. The biggest common factor number is the GCF number.
So the greatest common factor 93243 and 93258 is 3.

Also check out the Least Common Multiple of 93243 and 93258