What is the Greatest Common Factor of 47728 and 47738?

Greatest common factor (GCF) of 47728 and 47738 is 2.

GCF(47728,47738) = 2

We will now calculate the prime factors of 47728 and 47738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47728 and 47738.

How to find the GCF of 47728 and 47738?

We will first find the prime factorization of 47728 and 47738. After we will calculate the factors of 47728 and 47738 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 47738

Prime factors of 47738 are 2, 23869. Prime factorization of 47738 in exponential form is:

47738 = 2¹ × 23869¹

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 47738

List of positive integer factors of 47738 that divides 47728 without a remainder.

1, 2, 23869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47728 and 47738. The biggest common factor number is the GCF number.
So the greatest common factor 47728 and 47738 is 2.

Also check out the Least Common Multiple of 47728 and 47738