What is the Greatest Common Factor of 92307 and 92313?

Greatest common factor (GCF) of 92307 and 92313 is 3.

GCF(92307,92313) = 3

We will now calculate the prime factors of 92307 and 92313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92307 and 92313.

How to find the GCF of 92307 and 92313?

We will first find the prime factorization of 92307 and 92313. After we will calculate the factors of 92307 and 92313 and find the biggest common factor number .

Step-1: Prime Factorization of 92307

Prime factors of 92307 are 3, 29, 1061. Prime factorization of 92307 in exponential form is:

92307 = 3¹ × 29¹ × 1061¹

Step-2: Prime Factorization of 92313

Prime factors of 92313 are 3, 13, 263. Prime factorization of 92313 in exponential form is:

92313 = 3³ × 13¹ × 263¹

Step-3: Factors of 92307

List of positive integer factors of 92307 that divides 92307 without a remainder.

1, 3, 29, 87, 1061, 3183, 30769

Step-4: Factors of 92313

List of positive integer factors of 92313 that divides 92307 without a remainder.

1, 3, 9, 13, 27, 39, 117, 263, 351, 789, 2367, 3419, 7101, 10257, 30771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92307 and 92313. The biggest common factor number is the GCF number.
So the greatest common factor 92307 and 92313 is 3.

Also check out the Least Common Multiple of 92307 and 92313