What is the Greatest Common Factor of 96243 and 96258?

Greatest common factor (GCF) of 96243 and 96258 is 3.

GCF(96243,96258) = 3

We will now calculate the prime factors of 96243 and 96258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96243 and 96258.

How to find the GCF of 96243 and 96258?

We will first find the prime factorization of 96243 and 96258. After we will calculate the factors of 96243 and 96258 and find the biggest common factor number .

Step-1: Prime Factorization of 96243

Prime factors of 96243 are 3, 7, 4583. Prime factorization of 96243 in exponential form is:

96243 = 3¹ × 7¹ × 4583¹

Step-2: Prime Factorization of 96258

Prime factors of 96258 are 2, 3, 61, 263. Prime factorization of 96258 in exponential form is:

96258 = 2¹ × 3¹ × 61¹ × 263¹

Step-3: Factors of 96243

List of positive integer factors of 96243 that divides 96243 without a remainder.

1, 3, 7, 21, 4583, 13749, 32081

Step-4: Factors of 96258

List of positive integer factors of 96258 that divides 96243 without a remainder.

1, 2, 3, 6, 61, 122, 183, 263, 366, 526, 789, 1578, 16043, 32086, 48129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96243 and 96258. The biggest common factor number is the GCF number.
So the greatest common factor 96243 and 96258 is 3.

Also check out the Least Common Multiple of 96243 and 96258