What is the Greatest Common Factor of 93824 and 93838?

Greatest common factor (GCF) of 93824 and 93838 is 2.

GCF(93824,93838) = 2

We will now calculate the prime factors of 93824 and 93838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93824 and 93838.

How to find the GCF of 93824 and 93838?

We will first find the prime factorization of 93824 and 93838. After we will calculate the factors of 93824 and 93838 and find the biggest common factor number .

Step-1: Prime Factorization of 93824

Prime factors of 93824 are 2, 733. Prime factorization of 93824 in exponential form is:

93824 = 2⁷ × 733¹

Step-2: Prime Factorization of 93838

Prime factors of 93838 are 2, 46919. Prime factorization of 93838 in exponential form is:

93838 = 2¹ × 46919¹

Step-3: Factors of 93824

List of positive integer factors of 93824 that divides 93824 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 733, 1466, 2932, 5864, 11728, 23456, 46912

Step-4: Factors of 93838

List of positive integer factors of 93838 that divides 93824 without a remainder.

1, 2, 46919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93824 and 93838. The biggest common factor number is the GCF number.
So the greatest common factor 93824 and 93838 is 2.

Also check out the Least Common Multiple of 93824 and 93838