What is the Greatest Common Factor of 21728 and 21747?

Greatest common factor (GCF) of 21728 and 21747 is 1.

GCF(21728,21747) = 1

We will now calculate the prime factors of 21728 and 21747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21728 and 21747.

How to find the GCF of 21728 and 21747?

We will first find the prime factorization of 21728 and 21747. After we will calculate the factors of 21728 and 21747 and find the biggest common factor number .

Step-1: Prime Factorization of 21728

Prime factors of 21728 are 2, 7, 97. Prime factorization of 21728 in exponential form is:

21728 = 2⁵ × 7¹ × 97¹

Step-2: Prime Factorization of 21747

Prime factors of 21747 are 3, 11, 659. Prime factorization of 21747 in exponential form is:

21747 = 3¹ × 11¹ × 659¹

Step-3: Factors of 21728

List of positive integer factors of 21728 that divides 21728 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 97, 112, 194, 224, 388, 679, 776, 1358, 1552, 2716, 3104, 5432, 10864

Step-4: Factors of 21747

List of positive integer factors of 21747 that divides 21728 without a remainder.

1, 3, 11, 33, 659, 1977, 7249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21728 and 21747. The biggest common factor number is the GCF number.
So the greatest common factor 21728 and 21747 is 1.

Also check out the Least Common Multiple of 21728 and 21747