What is the Greatest Common Factor of 21664 and 21676?

Greatest common factor (GCF) of 21664 and 21676 is 4.

GCF(21664,21676) = 4

We will now calculate the prime factors of 21664 and 21676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21664 and 21676.

How to find the GCF of 21664 and 21676?

We will first find the prime factorization of 21664 and 21676. After we will calculate the factors of 21664 and 21676 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 21676

Prime factors of 21676 are 2, 5419. Prime factorization of 21676 in exponential form is:

21676 = 2² × 5419¹

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 21676

List of positive integer factors of 21676 that divides 21664 without a remainder.

1, 2, 4, 5419, 10838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21664 and 21676. The biggest common factor number is the GCF number.
So the greatest common factor 21664 and 21676 is 4.

Also check out the Least Common Multiple of 21664 and 21676