What is the Greatest Common Factor of 92355 and 92370?

Greatest common factor (GCF) of 92355 and 92370 is 15.

GCF(92355,92370) = 15

We will now calculate the prime factors of 92355 and 92370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92355 and 92370.

How to find the GCF of 92355 and 92370?

We will first find the prime factorization of 92355 and 92370. After we will calculate the factors of 92355 and 92370 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 92370

Prime factors of 92370 are 2, 3, 5, 3079. Prime factorization of 92370 in exponential form is:

92370 = 2¹ × 3¹ × 5¹ × 3079¹

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 92370

List of positive integer factors of 92370 that divides 92355 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3079, 6158, 9237, 15395, 18474, 30790, 46185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92355 and 92370. The biggest common factor number is the GCF number.
So the greatest common factor 92355 and 92370 is 15.

Also check out the Least Common Multiple of 92355 and 92370