What is the Greatest Common Factor of 58105 and 58117?

Greatest common factor (GCF) of 58105 and 58117 is 1.

GCF(58105,58117) = 1

We will now calculate the prime factors of 58105 and 58117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58105 and 58117.

How to find the GCF of 58105 and 58117?

We will first find the prime factorization of 58105 and 58117. After we will calculate the factors of 58105 and 58117 and find the biggest common factor number .

Step-1: Prime Factorization of 58105

Prime factors of 58105 are 5, 11621. Prime factorization of 58105 in exponential form is:

58105 = 5¹ × 11621¹

Step-2: Prime Factorization of 58117

Prime factors of 58117 are 89, 653. Prime factorization of 58117 in exponential form is:

58117 = 89¹ × 653¹

Step-3: Factors of 58105

List of positive integer factors of 58105 that divides 58105 without a remainder.

1, 5, 11621

Step-4: Factors of 58117

List of positive integer factors of 58117 that divides 58105 without a remainder.

1, 89, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58105 and 58117. The biggest common factor number is the GCF number.
So the greatest common factor 58105 and 58117 is 1.

Also check out the Least Common Multiple of 58105 and 58117