What is the Greatest Common Factor of 58989 and 59003?

Greatest common factor (GCF) of 58989 and 59003 is 7.

GCF(58989,59003) = 7

We will now calculate the prime factors of 58989 and 59003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58989 and 59003.

How to find the GCF of 58989 and 59003?

We will first find the prime factorization of 58989 and 59003. After we will calculate the factors of 58989 and 59003 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 59003

Prime factors of 59003 are 7, 8429. Prime factorization of 59003 in exponential form is:

59003 = 7¹ × 8429¹

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 59003

List of positive integer factors of 59003 that divides 58989 without a remainder.

1, 7, 8429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58989 and 59003. The biggest common factor number is the GCF number.
So the greatest common factor 58989 and 59003 is 7.

Also check out the Least Common Multiple of 58989 and 59003