What is the Greatest Common Factor of 58016 and 58031?

Greatest common factor (GCF) of 58016 and 58031 is 1.

GCF(58016,58031) = 1

We will now calculate the prime factors of 58016 and 58031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58016 and 58031.

How to find the GCF of 58016 and 58031?

We will first find the prime factorization of 58016 and 58031. After we will calculate the factors of 58016 and 58031 and find the biggest common factor number .

Step-1: Prime Factorization of 58016

Prime factors of 58016 are 2, 7, 37. Prime factorization of 58016 in exponential form is:

58016 = 2⁵ × 7² × 37¹

Step-2: Prime Factorization of 58031

Prime factors of 58031 are 58031. Prime factorization of 58031 in exponential form is:

58031 = 58031¹

Step-3: Factors of 58016

List of positive integer factors of 58016 that divides 58016 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 49, 56, 74, 98, 112, 148, 196, 224, 259, 296, 392, 518, 592, 784, 1036, 1184, 1568, 1813, 2072, 3626, 4144, 7252, 8288, 14504, 29008

Step-4: Factors of 58031

List of positive integer factors of 58031 that divides 58016 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58016 and 58031. The biggest common factor number is the GCF number.
So the greatest common factor 58016 and 58031 is 1.

Also check out the Least Common Multiple of 58016 and 58031