What is the Greatest Common Factor of 92346 and 92355?

Greatest common factor (GCF) of 92346 and 92355 is 3.

GCF(92346,92355) = 3

We will now calculate the prime factors of 92346 and 92355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92346 and 92355.

How to find the GCF of 92346 and 92355?

We will first find the prime factorization of 92346 and 92355. After we will calculate the factors of 92346 and 92355 and find the biggest common factor number .

Step-1: Prime Factorization of 92346

Prime factors of 92346 are 2, 3, 15391. Prime factorization of 92346 in exponential form is:

92346 = 2¹ × 3¹ × 15391¹

Step-2: Prime Factorization of 92355

Prime factors of 92355 are 3, 5, 47, 131. Prime factorization of 92355 in exponential form is:

92355 = 3¹ × 5¹ × 47¹ × 131¹

Step-3: Factors of 92346

List of positive integer factors of 92346 that divides 92346 without a remainder.

1, 2, 3, 6, 15391, 30782, 46173

Step-4: Factors of 92355

List of positive integer factors of 92355 that divides 92346 without a remainder.

1, 3, 5, 15, 47, 131, 141, 235, 393, 655, 705, 1965, 6157, 18471, 30785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92346 and 92355. The biggest common factor number is the GCF number.
So the greatest common factor 92346 and 92355 is 3.

Also check out the Least Common Multiple of 92346 and 92355