What is the Greatest Common Factor of 92355 and 92373?

Greatest common factor (GCF) of 92355 and 92373 is 3.

GCF(92355,92373) = 3

We will now calculate the prime factors of 92355 and 92373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92355 and 92373.

How to find the GCF of 92355 and 92373?

We will first find the prime factorization of 92355 and 92373. After we will calculate the factors of 92355 and 92373 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92373

Prime factors of 92373 are 3, 41, 751. Prime factorization of 92373 in exponential form is:

92373 = 3¹ × 41¹ × 751¹

Step-3: Factors of 92355

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

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

Step-4: Factors of 92373

List of positive integer factors of 92373 that divides 92355 without a remainder.

1, 3, 41, 123, 751, 2253, 30791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92355 and 92373. The biggest common factor number is the GCF number.
So the greatest common factor 92355 and 92373 is 3.

Also check out the Least Common Multiple of 92355 and 92373