What is the Greatest Common Factor of 58106 and 58123?

Greatest common factor (GCF) of 58106 and 58123 is 17.

GCF(58106,58123) = 17

We will now calculate the prime factors of 58106 and 58123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58106 and 58123.

How to find the GCF of 58106 and 58123?

We will first find the prime factorization of 58106 and 58123. After we will calculate the factors of 58106 and 58123 and find the biggest common factor number .

Step-1: Prime Factorization of 58106

Prime factors of 58106 are 2, 17, 1709. Prime factorization of 58106 in exponential form is:

58106 = 2¹ × 17¹ × 1709¹

Step-2: Prime Factorization of 58123

Prime factors of 58123 are 13, 17, 263. Prime factorization of 58123 in exponential form is:

58123 = 13¹ × 17¹ × 263¹

Step-3: Factors of 58106

List of positive integer factors of 58106 that divides 58106 without a remainder.

1, 2, 17, 34, 1709, 3418, 29053

Step-4: Factors of 58123

List of positive integer factors of 58123 that divides 58106 without a remainder.

1, 13, 17, 221, 263, 3419, 4471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58106 and 58123. The biggest common factor number is the GCF number.
So the greatest common factor 58106 and 58123 is 17.

Also check out the Least Common Multiple of 58106 and 58123