What is the Greatest Common Factor of 58816 and 58832?

Greatest common factor (GCF) of 58816 and 58832 is 16.

GCF(58816,58832) = 16

We will now calculate the prime factors of 58816 and 58832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58816 and 58832.

How to find the GCF of 58816 and 58832?

We will first find the prime factorization of 58816 and 58832. After we will calculate the factors of 58816 and 58832 and find the biggest common factor number .

Step-1: Prime Factorization of 58816

Prime factors of 58816 are 2, 919. Prime factorization of 58816 in exponential form is:

58816 = 2⁶ × 919¹

Step-2: Prime Factorization of 58832

Prime factors of 58832 are 2, 3677. Prime factorization of 58832 in exponential form is:

58832 = 2⁴ × 3677¹

Step-3: Factors of 58816

List of positive integer factors of 58816 that divides 58816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 919, 1838, 3676, 7352, 14704, 29408

Step-4: Factors of 58832

List of positive integer factors of 58832 that divides 58816 without a remainder.

1, 2, 4, 8, 16, 3677, 7354, 14708, 29416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58816 and 58832. The biggest common factor number is the GCF number.
So the greatest common factor 58816 and 58832 is 16.

Also check out the Least Common Multiple of 58816 and 58832