What is the Greatest Common Factor of 58989 and 59007?

Greatest common factor (GCF) of 58989 and 59007 is 3.

GCF(58989,59007) = 3

We will now calculate the prime factors of 58989 and 59007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58989 and 59007.

How to find the GCF of 58989 and 59007?

We will first find the prime factorization of 58989 and 59007. After we will calculate the factors of 58989 and 59007 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 59007

Prime factors of 59007 are 3, 13, 17, 89. Prime factorization of 59007 in exponential form is:

59007 = 3¹ × 13¹ × 17¹ × 89¹

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 59007

List of positive integer factors of 59007 that divides 58989 without a remainder.

1, 3, 13, 17, 39, 51, 89, 221, 267, 663, 1157, 1513, 3471, 4539, 19669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58989 and 59007. The biggest common factor number is the GCF number.
So the greatest common factor 58989 and 59007 is 3.

Also check out the Least Common Multiple of 58989 and 59007