What is the Greatest Common Factor of 21359 and 21377?

Greatest common factor (GCF) of 21359 and 21377 is 1.

GCF(21359,21377) = 1

We will now calculate the prime factors of 21359 and 21377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21359 and 21377.

How to find the GCF of 21359 and 21377?

We will first find the prime factorization of 21359 and 21377. After we will calculate the factors of 21359 and 21377 and find the biggest common factor number .

Step-1: Prime Factorization of 21359

Prime factors of 21359 are 13, 31, 53. Prime factorization of 21359 in exponential form is:

21359 = 13¹ × 31¹ × 53¹

Step-2: Prime Factorization of 21377

Prime factors of 21377 are 21377. Prime factorization of 21377 in exponential form is:

21377 = 21377¹

Step-3: Factors of 21359

List of positive integer factors of 21359 that divides 21359 without a remainder.

1, 13, 31, 53, 403, 689, 1643

Step-4: Factors of 21377

List of positive integer factors of 21377 that divides 21359 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21359 and 21377. The biggest common factor number is the GCF number.
So the greatest common factor 21359 and 21377 is 1.

Also check out the Least Common Multiple of 21359 and 21377