What is the Greatest Common Factor of 58053 and 58059?

Greatest common factor (GCF) of 58053 and 58059 is 3.

GCF(58053,58059) = 3

We will now calculate the prime factors of 58053 and 58059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58053 and 58059.

How to find the GCF of 58053 and 58059?

We will first find the prime factorization of 58053 and 58059. After we will calculate the factors of 58053 and 58059 and find the biggest common factor number .

Step-1: Prime Factorization of 58053

Prime factors of 58053 are 3, 37, 523. Prime factorization of 58053 in exponential form is:

58053 = 3¹ × 37¹ × 523¹

Step-2: Prime Factorization of 58059

Prime factors of 58059 are 3, 6451. Prime factorization of 58059 in exponential form is:

58059 = 3² × 6451¹

Step-3: Factors of 58053

List of positive integer factors of 58053 that divides 58053 without a remainder.

1, 3, 37, 111, 523, 1569, 19351

Step-4: Factors of 58059

List of positive integer factors of 58059 that divides 58053 without a remainder.

1, 3, 9, 6451, 19353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58053 and 58059. The biggest common factor number is the GCF number.
So the greatest common factor 58053 and 58059 is 3.

Also check out the Least Common Multiple of 58053 and 58059