What is the Greatest Common Factor of 21884 and 21896?

Greatest common factor (GCF) of 21884 and 21896 is 4.

GCF(21884,21896) = 4

We will now calculate the prime factors of 21884 and 21896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21884 and 21896.

How to find the GCF of 21884 and 21896?

We will first find the prime factorization of 21884 and 21896. After we will calculate the factors of 21884 and 21896 and find the biggest common factor number .

Step-1: Prime Factorization of 21884

Prime factors of 21884 are 2, 5471. Prime factorization of 21884 in exponential form is:

21884 = 2² × 5471¹

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 21884

List of positive integer factors of 21884 that divides 21884 without a remainder.

1, 2, 4, 5471, 10942

Step-4: Factors of 21896

List of positive integer factors of 21896 that divides 21884 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 21884 and 21896. The biggest common factor number is the GCF number.
So the greatest common factor 21884 and 21896 is 4.

Also check out the Least Common Multiple of 21884 and 21896