What is the Greatest Common Factor of 58009 and 58016?

Greatest common factor (GCF) of 58009 and 58016 is 7.

GCF(58009,58016) = 7

We will now calculate the prime factors of 58009 and 58016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58009 and 58016.

How to find the GCF of 58009 and 58016?

We will first find the prime factorization of 58009 and 58016. After we will calculate the factors of 58009 and 58016 and find the biggest common factor number .

Step-1: Prime Factorization of 58009

Prime factors of 58009 are 7, 8287. Prime factorization of 58009 in exponential form is:

58009 = 7¹ × 8287¹

Step-2: 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-3: Factors of 58009

List of positive integer factors of 58009 that divides 58009 without a remainder.

1, 7, 8287

Step-4: Factors of 58016

List of positive integer factors of 58016 that divides 58009 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58009 and 58016. The biggest common factor number is the GCF number.
So the greatest common factor 58009 and 58016 is 7.

Also check out the Least Common Multiple of 58009 and 58016