What is the Greatest Common Factor of 57996 and 58016?

Greatest common factor (GCF) of 57996 and 58016 is 4.

GCF(57996,58016) = 4

We will now calculate the prime factors of 57996 and 58016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57996 and 58016.

How to find the GCF of 57996 and 58016?

We will first find the prime factorization of 57996 and 58016. After we will calculate the factors of 57996 and 58016 and find the biggest common factor number .

Step-1: Prime Factorization of 57996

Prime factors of 57996 are 2, 3, 179. Prime factorization of 57996 in exponential form is:

57996 = 2² × 3⁴ × 179¹

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 57996

List of positive integer factors of 57996 that divides 57996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 179, 324, 358, 537, 716, 1074, 1611, 2148, 3222, 4833, 6444, 9666, 14499, 19332, 28998

Step-4: Factors of 58016

List of positive integer factors of 58016 that divides 57996 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 57996 and 58016. The biggest common factor number is the GCF number.
So the greatest common factor 57996 and 58016 is 4.

Also check out the Least Common Multiple of 57996 and 58016