What is the Greatest Common Factor of 21879 and 21896?

Greatest common factor (GCF) of 21879 and 21896 is 17.

GCF(21879,21896) = 17

We will now calculate the prime factors of 21879 and 21896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21879 and 21896.

How to find the GCF of 21879 and 21896?

We will first find the prime factorization of 21879 and 21896. After we will calculate the factors of 21879 and 21896 and find the biggest common factor number .

Step-1: Prime Factorization of 21879

Prime factors of 21879 are 3, 11, 13, 17. Prime factorization of 21879 in exponential form is:

21879 = 3² × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 21896

Prime factors of 21896 are 2, 7, 17, 23. Prime factorization of 21896 in exponential form is:

21896 = 2³ × 7¹ × 17¹ × 23¹

Step-3: Factors of 21879

List of positive integer factors of 21879 that divides 21879 without a remainder.

1, 3, 9, 11, 13, 17, 33, 39, 51, 99, 117, 143, 153, 187, 221, 429, 561, 663, 1287, 1683, 1989, 2431, 7293

Step-4: Factors of 21896

List of positive integer factors of 21896 that divides 21879 without a remainder.

1, 2, 4, 7, 8, 14, 17, 23, 28, 34, 46, 56, 68, 92, 119, 136, 161, 184, 238, 322, 391, 476, 644, 782, 952, 1288, 1564, 2737, 3128, 5474, 10948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21879 and 21896. The biggest common factor number is the GCF number.
So the greatest common factor 21879 and 21896 is 17.

Also check out the Least Common Multiple of 21879 and 21896