What is the Greatest Common Factor of 96258 and 96265?

Greatest common factor (GCF) of 96258 and 96265 is 1.

GCF(96258,96265) = 1

We will now calculate the prime factors of 96258 and 96265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96258 and 96265.

How to find the GCF of 96258 and 96265?

We will first find the prime factorization of 96258 and 96265. After we will calculate the factors of 96258 and 96265 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 96265

Prime factors of 96265 are 5, 13, 1481. Prime factorization of 96265 in exponential form is:

96265 = 5¹ × 13¹ × 1481¹

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 96265

List of positive integer factors of 96265 that divides 96258 without a remainder.

1, 5, 13, 65, 1481, 7405, 19253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96258 and 96265. The biggest common factor number is the GCF number.
So the greatest common factor 96258 and 96265 is 1.

Also check out the Least Common Multiple of 96258 and 96265