What is the Greatest Common Factor of 58259 and 58278?

Greatest common factor (GCF) of 58259 and 58278 is 1.

GCF(58259,58278) = 1

We will now calculate the prime factors of 58259 and 58278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58259 and 58278.

How to find the GCF of 58259 and 58278?

We will first find the prime factorization of 58259 and 58278. After we will calculate the factors of 58259 and 58278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58278

Prime factors of 58278 are 2, 3, 11, 883. Prime factorization of 58278 in exponential form is:

58278 = 2¹ × 3¹ × 11¹ × 883¹

Step-3: Factors of 58259

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

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

Step-4: Factors of 58278

List of positive integer factors of 58278 that divides 58259 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 883, 1766, 2649, 5298, 9713, 19426, 29139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58259 and 58278. The biggest common factor number is the GCF number.
So the greatest common factor 58259 and 58278 is 1.

Also check out the Least Common Multiple of 58259 and 58278