What is the Greatest Common Factor of 58989 and 59005?

Greatest common factor (GCF) of 58989 and 59005 is 1.

GCF(58989,59005) = 1

We will now calculate the prime factors of 58989 and 59005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58989 and 59005.

How to find the GCF of 58989 and 59005?

We will first find the prime factorization of 58989 and 59005. After we will calculate the factors of 58989 and 59005 and find the biggest common factor number .

Step-1: Prime Factorization of 58989

Prime factors of 58989 are 3, 7, 53. Prime factorization of 58989 in exponential form is:

58989 = 3¹ × 7¹ × 53²

Step-2: Prime Factorization of 59005

Prime factors of 59005 are 5, 11801. Prime factorization of 59005 in exponential form is:

59005 = 5¹ × 11801¹

Step-3: Factors of 58989

List of positive integer factors of 58989 that divides 58989 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113, 2809, 8427, 19663

Step-4: Factors of 59005

List of positive integer factors of 59005 that divides 58989 without a remainder.

1, 5, 11801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58989 and 59005. The biggest common factor number is the GCF number.
So the greatest common factor 58989 and 59005 is 1.

Also check out the Least Common Multiple of 58989 and 59005