What is the Greatest Common Factor of 58320 and 58336?

Greatest common factor (GCF) of 58320 and 58336 is 16.

GCF(58320,58336) = 16

We will now calculate the prime factors of 58320 and 58336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58320 and 58336.

How to find the GCF of 58320 and 58336?

We will first find the prime factorization of 58320 and 58336. After we will calculate the factors of 58320 and 58336 and find the biggest common factor number .

Step-1: Prime Factorization of 58320

Prime factors of 58320 are 2, 3, 5. Prime factorization of 58320 in exponential form is:

58320 = 2⁴ × 3⁶ × 5¹

Step-2: Prime Factorization of 58336

Prime factors of 58336 are 2, 1823. Prime factorization of 58336 in exponential form is:

58336 = 2⁵ × 1823¹

Step-3: Factors of 58320

List of positive integer factors of 58320 that divides 58320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 243, 270, 324, 360, 405, 432, 486, 540, 648, 720, 729, 810, 972, 1080, 1215, 1296, 1458, 1620, 1944, 2160, 2430, 2916, 3240, 3645, 3888, 4860, 5832, 6480, 7290, 9720, 11664, 14580, 19440, 29160

Step-4: Factors of 58336

List of positive integer factors of 58336 that divides 58320 without a remainder.

1, 2, 4, 8, 16, 32, 1823, 3646, 7292, 14584, 29168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58320 and 58336. The biggest common factor number is the GCF number.
So the greatest common factor 58320 and 58336 is 16.

Also check out the Least Common Multiple of 58320 and 58336