What is the Greatest Common Factor of 58995 and 59011?

Greatest common factor (GCF) of 58995 and 59011 is 1.

GCF(58995,59011) = 1

We will now calculate the prime factors of 58995 and 59011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58995 and 59011.

How to find the GCF of 58995 and 59011?

We will first find the prime factorization of 58995 and 59011. After we will calculate the factors of 58995 and 59011 and find the biggest common factor number .

Step-1: Prime Factorization of 58995

Prime factors of 58995 are 3, 5, 19, 23. Prime factorization of 58995 in exponential form is:

58995 = 3³ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 59011

Prime factors of 59011 are 59011. Prime factorization of 59011 in exponential form is:

59011 = 59011¹

Step-3: Factors of 58995

List of positive integer factors of 58995 that divides 58995 without a remainder.

1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207, 285, 345, 437, 513, 621, 855, 1035, 1311, 2185, 2565, 3105, 3933, 6555, 11799, 19665

Step-4: Factors of 59011

List of positive integer factors of 59011 that divides 58995 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58995 and 59011. The biggest common factor number is the GCF number.
So the greatest common factor 58995 and 59011 is 1.

Also check out the Least Common Multiple of 58995 and 59011