What is the Greatest Common Factor of 21059 and 21077?

Greatest common factor (GCF) of 21059 and 21077 is 1.

GCF(21059,21077) = 1

We will now calculate the prime factors of 21059 and 21077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21059 and 21077.

How to find the GCF of 21059 and 21077?

We will first find the prime factorization of 21059 and 21077. After we will calculate the factors of 21059 and 21077 and find the biggest common factor number .

Step-1: Prime Factorization of 21059

Prime factors of 21059 are 21059. Prime factorization of 21059 in exponential form is:

21059 = 21059¹

Step-2: Prime Factorization of 21077

Prime factors of 21077 are 7, 3011. Prime factorization of 21077 in exponential form is:

21077 = 7¹ × 3011¹

Step-3: Factors of 21059

List of positive integer factors of 21059 that divides 21059 without a remainder.

Step-4: Factors of 21077

List of positive integer factors of 21077 that divides 21059 without a remainder.

1, 7, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21059 and 21077. The biggest common factor number is the GCF number.
So the greatest common factor 21059 and 21077 is 1.

Also check out the Least Common Multiple of 21059 and 21077