What is the Greatest Common Factor of 92325 and 92343?

Greatest common factor (GCF) of 92325 and 92343 is 3.

GCF(92325,92343) = 3

We will now calculate the prime factors of 92325 and 92343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92325 and 92343.

How to find the GCF of 92325 and 92343?

We will first find the prime factorization of 92325 and 92343. After we will calculate the factors of 92325 and 92343 and find the biggest common factor number .

Step-1: Prime Factorization of 92325

Prime factors of 92325 are 3, 5, 1231. Prime factorization of 92325 in exponential form is:

92325 = 3¹ × 5² × 1231¹

Step-2: Prime Factorization of 92343

Prime factors of 92343 are 3, 30781. Prime factorization of 92343 in exponential form is:

92343 = 3¹ × 30781¹

Step-3: Factors of 92325

List of positive integer factors of 92325 that divides 92325 without a remainder.

1, 3, 5, 15, 25, 75, 1231, 3693, 6155, 18465, 30775

Step-4: Factors of 92343

List of positive integer factors of 92343 that divides 92325 without a remainder.

1, 3, 30781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92325 and 92343. The biggest common factor number is the GCF number.
So the greatest common factor 92325 and 92343 is 3.

Also check out the Least Common Multiple of 92325 and 92343