What is the Greatest Common Factor of 21889 and 21896?

Greatest common factor (GCF) of 21889 and 21896 is 7.

GCF(21889,21896) = 7

We will now calculate the prime factors of 21889 and 21896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21889 and 21896.

How to find the GCF of 21889 and 21896?

We will first find the prime factorization of 21889 and 21896. After we will calculate the factors of 21889 and 21896 and find the biggest common factor number .

Step-1: Prime Factorization of 21889

Prime factors of 21889 are 7, 53, 59. Prime factorization of 21889 in exponential form is:

21889 = 7¹ × 53¹ × 59¹

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 21889

List of positive integer factors of 21889 that divides 21889 without a remainder.

1, 7, 53, 59, 371, 413, 3127

Step-4: Factors of 21896

List of positive integer factors of 21896 that divides 21889 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 21889 and 21896. The biggest common factor number is the GCF number.
So the greatest common factor 21889 and 21896 is 7.

Also check out the Least Common Multiple of 21889 and 21896