What is the Greatest Common Factor of 21728 and 21739?

Greatest common factor (GCF) of 21728 and 21739 is 1.

GCF(21728,21739) = 1

We will now calculate the prime factors of 21728 and 21739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21728 and 21739.

How to find the GCF of 21728 and 21739?

We will first find the prime factorization of 21728 and 21739. After we will calculate the factors of 21728 and 21739 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 21739

Prime factors of 21739 are 21739. Prime factorization of 21739 in exponential form is:

21739 = 21739¹

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 21739

List of positive integer factors of 21739 that divides 21728 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21728 and 21739. The biggest common factor number is the GCF number.
So the greatest common factor 21728 and 21739 is 1.

Also check out the Least Common Multiple of 21728 and 21739