What is the Greatest Common Factor of 58242 and 58259?

Greatest common factor (GCF) of 58242 and 58259 is 17.

GCF(58242,58259) = 17

We will now calculate the prime factors of 58242 and 58259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58242 and 58259.

How to find the GCF of 58242 and 58259?

We will first find the prime factorization of 58242 and 58259. After we will calculate the factors of 58242 and 58259 and find the biggest common factor number .

Step-1: Prime Factorization of 58242

Prime factors of 58242 are 2, 3, 17, 571. Prime factorization of 58242 in exponential form is:

58242 = 2¹ × 3¹ × 17¹ × 571¹

Step-2: Prime Factorization of 58259

Prime factors of 58259 are 17, 23, 149. Prime factorization of 58259 in exponential form is:

58259 = 17¹ × 23¹ × 149¹

Step-3: Factors of 58242

List of positive integer factors of 58242 that divides 58242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 571, 1142, 1713, 3426, 9707, 19414, 29121

Step-4: Factors of 58259

List of positive integer factors of 58259 that divides 58242 without a remainder.

1, 17, 23, 149, 391, 2533, 3427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58242 and 58259. The biggest common factor number is the GCF number.
So the greatest common factor 58242 and 58259 is 17.

Also check out the Least Common Multiple of 58242 and 58259