What is the Greatest Common Factor of 96258 and 96274?

Greatest common factor (GCF) of 96258 and 96274 is 2.

GCF(96258,96274) = 2

We will now calculate the prime factors of 96258 and 96274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96258 and 96274.

How to find the GCF of 96258 and 96274?

We will first find the prime factorization of 96258 and 96274. After we will calculate the factors of 96258 and 96274 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96274

Prime factors of 96274 are 2, 37, 1301. Prime factorization of 96274 in exponential form is:

96274 = 2¹ × 37¹ × 1301¹

Step-3: Factors of 96258

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

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

Step-4: Factors of 96274

List of positive integer factors of 96274 that divides 96258 without a remainder.

1, 2, 37, 74, 1301, 2602, 48137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96258 and 96274. The biggest common factor number is the GCF number.
So the greatest common factor 96258 and 96274 is 2.

Also check out the Least Common Multiple of 96258 and 96274