What is the Greatest Common Factor of 58110 and 58120?

Greatest common factor (GCF) of 58110 and 58120 is 10.

GCF(58110,58120) = 10

We will now calculate the prime factors of 58110 and 58120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58110 and 58120.

How to find the GCF of 58110 and 58120?

We will first find the prime factorization of 58110 and 58120. After we will calculate the factors of 58110 and 58120 and find the biggest common factor number .

Step-1: Prime Factorization of 58110

Prime factors of 58110 are 2, 3, 5, 13, 149. Prime factorization of 58110 in exponential form is:

58110 = 2¹ × 3¹ × 5¹ × 13¹ × 149¹

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 58110

List of positive integer factors of 58110 that divides 58110 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 149, 195, 298, 390, 447, 745, 894, 1490, 1937, 2235, 3874, 4470, 5811, 9685, 11622, 19370, 29055

Step-4: Factors of 58120

List of positive integer factors of 58120 that divides 58110 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 58110 and 58120. The biggest common factor number is the GCF number.
So the greatest common factor 58110 and 58120 is 10.

Also check out the Least Common Multiple of 58110 and 58120