What is the Greatest Common Factor of 21359 and 21365?

Greatest common factor (GCF) of 21359 and 21365 is 1.

GCF(21359,21365) = 1

We will now calculate the prime factors of 21359 and 21365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21359 and 21365.

How to find the GCF of 21359 and 21365?

We will first find the prime factorization of 21359 and 21365. After we will calculate the factors of 21359 and 21365 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 21365

Prime factors of 21365 are 5, 4273. Prime factorization of 21365 in exponential form is:

21365 = 5¹ × 4273¹

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 21365

List of positive integer factors of 21365 that divides 21359 without a remainder.

1, 5, 4273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21359 and 21365. The biggest common factor number is the GCF number.
So the greatest common factor 21359 and 21365 is 1.

Also check out the Least Common Multiple of 21359 and 21365