What is the Greatest Common Factor of 92325 and 92342?

Greatest common factor (GCF) of 92325 and 92342 is 1.

GCF(92325,92342) = 1

We will now calculate the prime factors of 92325 and 92342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92325 and 92342.

How to find the GCF of 92325 and 92342?

We will first find the prime factorization of 92325 and 92342. After we will calculate the factors of 92325 and 92342 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 92342

Prime factors of 92342 are 2, 46171. Prime factorization of 92342 in exponential form is:

92342 = 2¹ × 46171¹

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 92342

List of positive integer factors of 92342 that divides 92325 without a remainder.

1, 2, 46171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92325 and 92342. The biggest common factor number is the GCF number.
So the greatest common factor 92325 and 92342 is 1.

Also check out the Least Common Multiple of 92325 and 92342