What is the Greatest Common Factor of 47709 and 47728?

Greatest common factor (GCF) of 47709 and 47728 is 19.

GCF(47709,47728) = 19

We will now calculate the prime factors of 47709 and 47728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47709 and 47728.

How to find the GCF of 47709 and 47728?

We will first find the prime factorization of 47709 and 47728. After we will calculate the factors of 47709 and 47728 and find the biggest common factor number .

Step-1: Prime Factorization of 47709

Prime factors of 47709 are 3, 19, 31. Prime factorization of 47709 in exponential form is:

47709 = 3⁴ × 19¹ × 31¹

Step-2: 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-3: Factors of 47709

List of positive integer factors of 47709 that divides 47709 without a remainder.

1, 3, 9, 19, 27, 31, 57, 81, 93, 171, 279, 513, 589, 837, 1539, 1767, 2511, 5301, 15903

Step-4: Factors of 47728

List of positive integer factors of 47728 that divides 47709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47709 and 47728. The biggest common factor number is the GCF number.
So the greatest common factor 47709 and 47728 is 19.

Also check out the Least Common Multiple of 47709 and 47728