What is the Greatest Common Factor of 58220 and 58239?

Greatest common factor (GCF) of 58220 and 58239 is 1.

GCF(58220,58239) = 1

We will now calculate the prime factors of 58220 and 58239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58220 and 58239.

How to find the GCF of 58220 and 58239?

We will first find the prime factorization of 58220 and 58239. After we will calculate the factors of 58220 and 58239 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 58239

Prime factors of 58239 are 3, 719. Prime factorization of 58239 in exponential form is:

58239 = 3⁴ × 719¹

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 58239

List of positive integer factors of 58239 that divides 58220 without a remainder.

1, 3, 9, 27, 81, 719, 2157, 6471, 19413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58220 and 58239. The biggest common factor number is the GCF number.
So the greatest common factor 58220 and 58239 is 1.

Also check out the Least Common Multiple of 58220 and 58239