What is the Greatest Common Factor of 21313 and 21329?

Greatest common factor (GCF) of 21313 and 21329 is 1.

GCF(21313,21329) = 1

We will now calculate the prime factors of 21313 and 21329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21313 and 21329.

How to find the GCF of 21313 and 21329?

We will first find the prime factorization of 21313 and 21329. After we will calculate the factors of 21313 and 21329 and find the biggest common factor number .

Step-1: Prime Factorization of 21313

Prime factors of 21313 are 21313. Prime factorization of 21313 in exponential form is:

21313 = 21313¹

Step-2: Prime Factorization of 21329

Prime factors of 21329 are 7, 11, 277. Prime factorization of 21329 in exponential form is:

21329 = 7¹ × 11¹ × 277¹

Step-3: Factors of 21313

List of positive integer factors of 21313 that divides 21313 without a remainder.

Step-4: Factors of 21329

List of positive integer factors of 21329 that divides 21313 without a remainder.

1, 7, 11, 77, 277, 1939, 3047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21313 and 21329. The biggest common factor number is the GCF number.
So the greatest common factor 21313 and 21329 is 1.

Also check out the Least Common Multiple of 21313 and 21329