What is the Greatest Common Factor of 92259 and 92274?

Greatest common factor (GCF) of 92259 and 92274 is 3.

GCF(92259,92274) = 3

We will now calculate the prime factors of 92259 and 92274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92259 and 92274.

How to find the GCF of 92259 and 92274?

We will first find the prime factorization of 92259 and 92274. After we will calculate the factors of 92259 and 92274 and find the biggest common factor number .

Step-1: Prime Factorization of 92259

Prime factors of 92259 are 3, 17, 67. Prime factorization of 92259 in exponential form is:

92259 = 3⁴ × 17¹ × 67¹

Step-2: Prime Factorization of 92274

Prime factors of 92274 are 2, 3, 7, 13. Prime factorization of 92274 in exponential form is:

92274 = 2¹ × 3¹ × 7¹ × 13³

Step-3: Factors of 92259

List of positive integer factors of 92259 that divides 92259 without a remainder.

1, 3, 9, 17, 27, 51, 67, 81, 153, 201, 459, 603, 1139, 1377, 1809, 3417, 5427, 10251, 30753

Step-4: Factors of 92274

List of positive integer factors of 92274 that divides 92259 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2197, 2366, 3549, 4394, 6591, 7098, 13182, 15379, 30758, 46137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92259 and 92274. The biggest common factor number is the GCF number.
So the greatest common factor 92259 and 92274 is 3.

Also check out the Least Common Multiple of 92259 and 92274