What is the Greatest Common Factor of 15728 and 15748?

Greatest common factor (GCF) of 15728 and 15748 is 4.

GCF(15728,15748) = 4

We will now calculate the prime factors of 15728 and 15748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15728 and 15748.

How to find the GCF of 15728 and 15748?

We will first find the prime factorization of 15728 and 15748. After we will calculate the factors of 15728 and 15748 and find the biggest common factor number .

Step-1: Prime Factorization of 15728

Prime factors of 15728 are 2, 983. Prime factorization of 15728 in exponential form is:

15728 = 2⁴ × 983¹

Step-2: Prime Factorization of 15748

Prime factors of 15748 are 2, 31, 127. Prime factorization of 15748 in exponential form is:

15748 = 2² × 31¹ × 127¹

Step-3: Factors of 15728

List of positive integer factors of 15728 that divides 15728 without a remainder.

1, 2, 4, 8, 16, 983, 1966, 3932, 7864

Step-4: Factors of 15748

List of positive integer factors of 15748 that divides 15728 without a remainder.

1, 2, 4, 31, 62, 124, 127, 254, 508, 3937, 7874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15728 and 15748. The biggest common factor number is the GCF number.
So the greatest common factor 15728 and 15748 is 4.

Also check out the Least Common Multiple of 15728 and 15748