What is the Greatest Common Factor of 21696 and 21711?

Greatest common factor (GCF) of 21696 and 21711 is 3.

GCF(21696,21711) = 3

We will now calculate the prime factors of 21696 and 21711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21696 and 21711.

How to find the GCF of 21696 and 21711?

We will first find the prime factorization of 21696 and 21711. After we will calculate the factors of 21696 and 21711 and find the biggest common factor number .

Step-1: Prime Factorization of 21696

Prime factors of 21696 are 2, 3, 113. Prime factorization of 21696 in exponential form is:

21696 = 2⁶ × 3¹ × 113¹

Step-2: Prime Factorization of 21711

Prime factors of 21711 are 3, 7237. Prime factorization of 21711 in exponential form is:

21711 = 3¹ × 7237¹

Step-3: Factors of 21696

List of positive integer factors of 21696 that divides 21696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 113, 192, 226, 339, 452, 678, 904, 1356, 1808, 2712, 3616, 5424, 7232, 10848

Step-4: Factors of 21711

List of positive integer factors of 21711 that divides 21696 without a remainder.

1, 3, 7237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21696 and 21711. The biggest common factor number is the GCF number.
So the greatest common factor 21696 and 21711 is 3.

Also check out the Least Common Multiple of 21696 and 21711