What is the Greatest Common Factor of 92242 and 92259?

Greatest common factor (GCF) of 92242 and 92259 is 17.

GCF(92242,92259) = 17

We will now calculate the prime factors of 92242 and 92259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92242 and 92259.

How to find the GCF of 92242 and 92259?

We will first find the prime factorization of 92242 and 92259. After we will calculate the factors of 92242 and 92259 and find the biggest common factor number .

Step-1: Prime Factorization of 92242

Prime factors of 92242 are 2, 17, 2713. Prime factorization of 92242 in exponential form is:

92242 = 2¹ × 17¹ × 2713¹

Step-2: 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-3: Factors of 92242

List of positive integer factors of 92242 that divides 92242 without a remainder.

1, 2, 17, 34, 2713, 5426, 46121

Step-4: Factors of 92259

List of positive integer factors of 92259 that divides 92242 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92242 and 92259. The biggest common factor number is the GCF number.
So the greatest common factor 92242 and 92259 is 17.

Also check out the Least Common Multiple of 92242 and 92259