What is the Greatest Common Factor of 58986 and 59001?

Greatest common factor (GCF) of 58986 and 59001 is 3.

GCF(58986,59001) = 3

We will now calculate the prime factors of 58986 and 59001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58986 and 59001.

How to find the GCF of 58986 and 59001?

We will first find the prime factorization of 58986 and 59001. After we will calculate the factors of 58986 and 59001 and find the biggest common factor number .

Step-1: Prime Factorization of 58986

Prime factors of 58986 are 2, 3, 29, 113. Prime factorization of 58986 in exponential form is:

58986 = 2¹ × 3² × 29¹ × 113¹

Step-2: Prime Factorization of 59001

Prime factors of 59001 are 3, 71, 277. Prime factorization of 59001 in exponential form is:

59001 = 3¹ × 71¹ × 277¹

Step-3: Factors of 58986

List of positive integer factors of 58986 that divides 58986 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 113, 174, 226, 261, 339, 522, 678, 1017, 2034, 3277, 6554, 9831, 19662, 29493

Step-4: Factors of 59001

List of positive integer factors of 59001 that divides 58986 without a remainder.

1, 3, 71, 213, 277, 831, 19667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58986 and 59001. The biggest common factor number is the GCF number.
So the greatest common factor 58986 and 59001 is 3.

Also check out the Least Common Multiple of 58986 and 59001