What is the Greatest Common Factor of 21664 and 21671?

Greatest common factor (GCF) of 21664 and 21671 is 1.

GCF(21664,21671) = 1

We will now calculate the prime factors of 21664 and 21671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21664 and 21671.

How to find the GCF of 21664 and 21671?

We will first find the prime factorization of 21664 and 21671. After we will calculate the factors of 21664 and 21671 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 21671

Prime factors of 21671 are 13, 1667. Prime factorization of 21671 in exponential form is:

21671 = 13¹ × 1667¹

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 21671

List of positive integer factors of 21671 that divides 21664 without a remainder.

1, 13, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21664 and 21671. The biggest common factor number is the GCF number.
So the greatest common factor 21664 and 21671 is 1.

Also check out the Least Common Multiple of 21664 and 21671