What is the Greatest Common Factor of 92355 and 92364?

Greatest common factor (GCF) of 92355 and 92364 is 3.

GCF(92355,92364) = 3

We will now calculate the prime factors of 92355 and 92364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92355 and 92364.

How to find the GCF of 92355 and 92364?

We will first find the prime factorization of 92355 and 92364. After we will calculate the factors of 92355 and 92364 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 92364

Prime factors of 92364 are 2, 3, 43, 179. Prime factorization of 92364 in exponential form is:

92364 = 2² × 3¹ × 43¹ × 179¹

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 92364

List of positive integer factors of 92364 that divides 92355 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 179, 258, 358, 516, 537, 716, 1074, 2148, 7697, 15394, 23091, 30788, 46182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92355 and 92364. The biggest common factor number is the GCF number.
So the greatest common factor 92355 and 92364 is 3.

Also check out the Least Common Multiple of 92355 and 92364