What is the Greatest Common Factor of 58220 and 58230?

Greatest common factor (GCF) of 58220 and 58230 is 10.

GCF(58220,58230) = 10

We will now calculate the prime factors of 58220 and 58230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58220 and 58230.

How to find the GCF of 58220 and 58230?

We will first find the prime factorization of 58220 and 58230. After we will calculate the factors of 58220 and 58230 and find the biggest common factor number .

Step-1: Prime Factorization of 58220

Prime factors of 58220 are 2, 5, 41, 71. Prime factorization of 58220 in exponential form is:

58220 = 2² × 5¹ × 41¹ × 71¹

Step-2: Prime Factorization of 58230

Prime factors of 58230 are 2, 3, 5, 647. Prime factorization of 58230 in exponential form is:

58230 = 2¹ × 3² × 5¹ × 647¹

Step-3: Factors of 58220

List of positive integer factors of 58220 that divides 58220 without a remainder.

1, 2, 4, 5, 10, 20, 41, 71, 82, 142, 164, 205, 284, 355, 410, 710, 820, 1420, 2911, 5822, 11644, 14555, 29110

Step-4: Factors of 58230

List of positive integer factors of 58230 that divides 58220 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 647, 1294, 1941, 3235, 3882, 5823, 6470, 9705, 11646, 19410, 29115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58220 and 58230. The biggest common factor number is the GCF number.
So the greatest common factor 58220 and 58230 is 10.

Also check out the Least Common Multiple of 58220 and 58230