What is the Greatest Common Factor of 58259 and 58276?

Greatest common factor (GCF) of 58259 and 58276 is 17.

GCF(58259,58276) = 17

We will now calculate the prime factors of 58259 and 58276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58259 and 58276.

How to find the GCF of 58259 and 58276?

We will first find the prime factorization of 58259 and 58276. After we will calculate the factors of 58259 and 58276 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 58276

Prime factors of 58276 are 2, 17, 857. Prime factorization of 58276 in exponential form is:

58276 = 2² × 17¹ × 857¹

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 58276

List of positive integer factors of 58276 that divides 58259 without a remainder.

1, 2, 4, 17, 34, 68, 857, 1714, 3428, 14569, 29138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58259 and 58276. The biggest common factor number is the GCF number.
So the greatest common factor 58259 and 58276 is 17.

Also check out the Least Common Multiple of 58259 and 58276