What is the Greatest Common Factor of 58986 and 59002?

Greatest common factor (GCF) of 58986 and 59002 is 2.

GCF(58986,59002) = 2

We will now calculate the prime factors of 58986 and 59002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58986 and 59002.

How to find the GCF of 58986 and 59002?

We will first find the prime factorization of 58986 and 59002. After we will calculate the factors of 58986 and 59002 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 59002

Prime factors of 59002 are 2, 29501. Prime factorization of 59002 in exponential form is:

59002 = 2¹ × 29501¹

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 59002

List of positive integer factors of 59002 that divides 58986 without a remainder.

1, 2, 29501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58986 and 59002. The biggest common factor number is the GCF number.
So the greatest common factor 58986 and 59002 is 2.

Also check out the Least Common Multiple of 58986 and 59002