What is the Greatest Common Factor of 21104 and 21111?

Greatest common factor (GCF) of 21104 and 21111 is 1.

GCF(21104,21111) = 1

We will now calculate the prime factors of 21104 and 21111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21104 and 21111.

How to find the GCF of 21104 and 21111?

We will first find the prime factorization of 21104 and 21111. After we will calculate the factors of 21104 and 21111 and find the biggest common factor number .

Step-1: Prime Factorization of 21104

Prime factors of 21104 are 2, 1319. Prime factorization of 21104 in exponential form is:

21104 = 2⁴ × 1319¹

Step-2: Prime Factorization of 21111

Prime factors of 21111 are 3, 31, 227. Prime factorization of 21111 in exponential form is:

21111 = 3¹ × 31¹ × 227¹

Step-3: Factors of 21104

List of positive integer factors of 21104 that divides 21104 without a remainder.

1, 2, 4, 8, 16, 1319, 2638, 5276, 10552

Step-4: Factors of 21111

List of positive integer factors of 21111 that divides 21104 without a remainder.

1, 3, 31, 93, 227, 681, 7037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21104 and 21111. The biggest common factor number is the GCF number.
So the greatest common factor 21104 and 21111 is 1.

Also check out the Least Common Multiple of 21104 and 21111