What is the Greatest Common Factor of 93728 and 93736?

Greatest common factor (GCF) of 93728 and 93736 is 8.

GCF(93728,93736) = 8

We will now calculate the prime factors of 93728 and 93736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93728 and 93736.

How to find the GCF of 93728 and 93736?

We will first find the prime factorization of 93728 and 93736. After we will calculate the factors of 93728 and 93736 and find the biggest common factor number .

Step-1: Prime Factorization of 93728

Prime factors of 93728 are 2, 29, 101. Prime factorization of 93728 in exponential form is:

93728 = 2⁵ × 29¹ × 101¹

Step-2: Prime Factorization of 93736

Prime factors of 93736 are 2, 11717. Prime factorization of 93736 in exponential form is:

93736 = 2³ × 11717¹

Step-3: Factors of 93728

List of positive integer factors of 93728 that divides 93728 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 101, 116, 202, 232, 404, 464, 808, 928, 1616, 2929, 3232, 5858, 11716, 23432, 46864

Step-4: Factors of 93736

List of positive integer factors of 93736 that divides 93728 without a remainder.

1, 2, 4, 8, 11717, 23434, 46868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93728 and 93736. The biggest common factor number is the GCF number.
So the greatest common factor 93728 and 93736 is 8.

Also check out the Least Common Multiple of 93728 and 93736