What is the Greatest Common Factor of 21664 and 21679?

Greatest common factor (GCF) of 21664 and 21679 is 1.

GCF(21664,21679) = 1

We will now calculate the prime factors of 21664 and 21679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21664 and 21679.

How to find the GCF of 21664 and 21679?

We will first find the prime factorization of 21664 and 21679. After we will calculate the factors of 21664 and 21679 and find the biggest common factor number .

Step-1: Prime Factorization of 21664

Prime factors of 21664 are 2, 677. Prime factorization of 21664 in exponential form is:

21664 = 2⁵ × 677¹

Step-2: Prime Factorization of 21679

Prime factors of 21679 are 7, 19, 163. Prime factorization of 21679 in exponential form is:

21679 = 7¹ × 19¹ × 163¹

Step-3: Factors of 21664

List of positive integer factors of 21664 that divides 21664 without a remainder.

1, 2, 4, 8, 16, 32, 677, 1354, 2708, 5416, 10832

Step-4: Factors of 21679

List of positive integer factors of 21679 that divides 21664 without a remainder.

1, 7, 19, 133, 163, 1141, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21664 and 21679. The biggest common factor number is the GCF number.
So the greatest common factor 21664 and 21679 is 1.

Also check out the Least Common Multiple of 21664 and 21679