What is the Greatest Common Factor of 21055 and 21071?

Greatest common factor (GCF) of 21055 and 21071 is 1.

GCF(21055,21071) = 1

We will now calculate the prime factors of 21055 and 21071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21055 and 21071.

How to find the GCF of 21055 and 21071?

We will first find the prime factorization of 21055 and 21071. After we will calculate the factors of 21055 and 21071 and find the biggest common factor number .

Step-1: Prime Factorization of 21055

Prime factors of 21055 are 5, 4211. Prime factorization of 21055 in exponential form is:

21055 = 5¹ × 4211¹

Step-2: Prime Factorization of 21071

Prime factors of 21071 are 19, 1109. Prime factorization of 21071 in exponential form is:

21071 = 19¹ × 1109¹

Step-3: Factors of 21055

List of positive integer factors of 21055 that divides 21055 without a remainder.

1, 5, 4211

Step-4: Factors of 21071

List of positive integer factors of 21071 that divides 21055 without a remainder.

1, 19, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21055 and 21071. The biggest common factor number is the GCF number.
So the greatest common factor 21055 and 21071 is 1.

Also check out the Least Common Multiple of 21055 and 21071