What is the Greatest Common Factor of 58038 and 58053?

Greatest common factor (GCF) of 58038 and 58053 is 3.

GCF(58038,58053) = 3

We will now calculate the prime factors of 58038 and 58053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58038 and 58053.

How to find the GCF of 58038 and 58053?

We will first find the prime factorization of 58038 and 58053. After we will calculate the factors of 58038 and 58053 and find the biggest common factor number .

Step-1: Prime Factorization of 58038

Prime factors of 58038 are 2, 3, 17, 569. Prime factorization of 58038 in exponential form is:

58038 = 2¹ × 3¹ × 17¹ × 569¹

Step-2: 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-3: Factors of 58038

List of positive integer factors of 58038 that divides 58038 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 569, 1138, 1707, 3414, 9673, 19346, 29019

Step-4: Factors of 58053

List of positive integer factors of 58053 that divides 58038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58038 and 58053. The biggest common factor number is the GCF number.
So the greatest common factor 58038 and 58053 is 3.

Also check out the Least Common Multiple of 58038 and 58053