What is the Greatest Common Factor of 23728 and 23746?

Greatest common factor (GCF) of 23728 and 23746 is 2.

GCF(23728,23746) = 2

We will now calculate the prime factors of 23728 and 23746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23728 and 23746.

How to find the GCF of 23728 and 23746?

We will first find the prime factorization of 23728 and 23746. After we will calculate the factors of 23728 and 23746 and find the biggest common factor number .

Step-1: Prime Factorization of 23728

Prime factors of 23728 are 2, 1483. Prime factorization of 23728 in exponential form is:

23728 = 2⁴ × 1483¹

Step-2: Prime Factorization of 23746

Prime factors of 23746 are 2, 31, 383. Prime factorization of 23746 in exponential form is:

23746 = 2¹ × 31¹ × 383¹

Step-3: Factors of 23728

List of positive integer factors of 23728 that divides 23728 without a remainder.

1, 2, 4, 8, 16, 1483, 2966, 5932, 11864

Step-4: Factors of 23746

List of positive integer factors of 23746 that divides 23728 without a remainder.

1, 2, 31, 62, 383, 766, 11873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23728 and 23746. The biggest common factor number is the GCF number.
So the greatest common factor 23728 and 23746 is 2.

Also check out the Least Common Multiple of 23728 and 23746