What is the Greatest Common Factor of 21921 and 21936?

Greatest common factor (GCF) of 21921 and 21936 is 3.

GCF(21921,21936) = 3

We will now calculate the prime factors of 21921 and 21936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21921 and 21936.

How to find the GCF of 21921 and 21936?

We will first find the prime factorization of 21921 and 21936. After we will calculate the factors of 21921 and 21936 and find the biggest common factor number .

Step-1: Prime Factorization of 21921

Prime factors of 21921 are 3, 7307. Prime factorization of 21921 in exponential form is:

21921 = 3¹ × 7307¹

Step-2: Prime Factorization of 21936

Prime factors of 21936 are 2, 3, 457. Prime factorization of 21936 in exponential form is:

21936 = 2⁴ × 3¹ × 457¹

Step-3: Factors of 21921

List of positive integer factors of 21921 that divides 21921 without a remainder.

1, 3, 7307

Step-4: Factors of 21936

List of positive integer factors of 21936 that divides 21921 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21921 and 21936. The biggest common factor number is the GCF number.
So the greatest common factor 21921 and 21936 is 3.

Also check out the Least Common Multiple of 21921 and 21936