What is the Greatest Common Factor of 93728 and 93732?

Greatest common factor (GCF) of 93728 and 93732 is 4.

GCF(93728,93732) = 4

We will now calculate the prime factors of 93728 and 93732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93728 and 93732.

How to find the GCF of 93728 and 93732?

We will first find the prime factorization of 93728 and 93732. After we will calculate the factors of 93728 and 93732 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 93732

Prime factors of 93732 are 2, 3, 73, 107. Prime factorization of 93732 in exponential form is:

93732 = 2² × 3¹ × 73¹ × 107¹

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 93732

List of positive integer factors of 93732 that divides 93728 without a remainder.

1, 2, 3, 4, 6, 12, 73, 107, 146, 214, 219, 292, 321, 428, 438, 642, 876, 1284, 7811, 15622, 23433, 31244, 46866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93728 and 93732. The biggest common factor number is the GCF number.
So the greatest common factor 93728 and 93732 is 4.

Also check out the Least Common Multiple of 93728 and 93732