What is the Greatest Common Factor of 58105 and 58120?

Greatest common factor (GCF) of 58105 and 58120 is 5.

GCF(58105,58120) = 5

We will now calculate the prime factors of 58105 and 58120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58105 and 58120.

How to find the GCF of 58105 and 58120?

We will first find the prime factorization of 58105 and 58120. After we will calculate the factors of 58105 and 58120 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 58120

Prime factors of 58120 are 2, 5, 1453. Prime factorization of 58120 in exponential form is:

58120 = 2³ × 5¹ × 1453¹

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 58120

List of positive integer factors of 58120 that divides 58105 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1453, 2906, 5812, 7265, 11624, 14530, 29060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58105 and 58120. The biggest common factor number is the GCF number.
So the greatest common factor 58105 and 58120 is 5.

Also check out the Least Common Multiple of 58105 and 58120