What is the Greatest Common Factor of 58565 and 58577?

Greatest common factor (GCF) of 58565 and 58577 is 1.

GCF(58565,58577) = 1

We will now calculate the prime factors of 58565 and 58577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58565 and 58577.

How to find the GCF of 58565 and 58577?

We will first find the prime factorization of 58565 and 58577. After we will calculate the factors of 58565 and 58577 and find the biggest common factor number .

Step-1: Prime Factorization of 58565

Prime factors of 58565 are 5, 13, 17, 53. Prime factorization of 58565 in exponential form is:

58565 = 5¹ × 13¹ × 17¹ × 53¹

Step-2: Prime Factorization of 58577

Prime factors of 58577 are 19, 3083. Prime factorization of 58577 in exponential form is:

58577 = 19¹ × 3083¹

Step-3: Factors of 58565

List of positive integer factors of 58565 that divides 58565 without a remainder.

1, 5, 13, 17, 53, 65, 85, 221, 265, 689, 901, 1105, 3445, 4505, 11713

Step-4: Factors of 58577

List of positive integer factors of 58577 that divides 58565 without a remainder.

1, 19, 3083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58565 and 58577. The biggest common factor number is the GCF number.
So the greatest common factor 58565 and 58577 is 1.

Also check out the Least Common Multiple of 58565 and 58577