What is the Greatest Common Factor of 58016 and 58030?

Greatest common factor (GCF) of 58016 and 58030 is 14.

GCF(58016,58030) = 14

We will now calculate the prime factors of 58016 and 58030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58016 and 58030.

How to find the GCF of 58016 and 58030?

We will first find the prime factorization of 58016 and 58030. After we will calculate the factors of 58016 and 58030 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 58030

Prime factors of 58030 are 2, 5, 7, 829. Prime factorization of 58030 in exponential form is:

58030 = 2¹ × 5¹ × 7¹ × 829¹

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 58030

List of positive integer factors of 58030 that divides 58016 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 829, 1658, 4145, 5803, 8290, 11606, 29015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58016 and 58030. The biggest common factor number is the GCF number.
So the greatest common factor 58016 and 58030 is 14.

Also check out the Least Common Multiple of 58016 and 58030