What is the Greatest Common Factor of 47728 and 47732?

Greatest common factor (GCF) of 47728 and 47732 is 4.

GCF(47728,47732) = 4

We will now calculate the prime factors of 47728 and 47732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47728 and 47732.

How to find the GCF of 47728 and 47732?

We will first find the prime factorization of 47728 and 47732. After we will calculate the factors of 47728 and 47732 and find the biggest common factor number .

Step-1: Prime Factorization of 47728

Prime factors of 47728 are 2, 19, 157. Prime factorization of 47728 in exponential form is:

47728 = 2⁴ × 19¹ × 157¹

Step-2: Prime Factorization of 47732

Prime factors of 47732 are 2, 11933. Prime factorization of 47732 in exponential form is:

47732 = 2² × 11933¹

Step-3: Factors of 47728

List of positive integer factors of 47728 that divides 47728 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 157, 304, 314, 628, 1256, 2512, 2983, 5966, 11932, 23864

Step-4: Factors of 47732

List of positive integer factors of 47732 that divides 47728 without a remainder.

1, 2, 4, 11933, 23866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47728 and 47732. The biggest common factor number is the GCF number.
So the greatest common factor 47728 and 47732 is 4.

Also check out the Least Common Multiple of 47728 and 47732