What is the Greatest Common Factor of 21345 and 21359?

Greatest common factor (GCF) of 21345 and 21359 is 1.

GCF(21345,21359) = 1

We will now calculate the prime factors of 21345 and 21359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21345 and 21359.

How to find the GCF of 21345 and 21359?

We will first find the prime factorization of 21345 and 21359. After we will calculate the factors of 21345 and 21359 and find the biggest common factor number .

Step-1: Prime Factorization of 21345

Prime factors of 21345 are 3, 5, 1423. Prime factorization of 21345 in exponential form is:

21345 = 3¹ × 5¹ × 1423¹

Step-2: 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-3: Factors of 21345

List of positive integer factors of 21345 that divides 21345 without a remainder.

1, 3, 5, 15, 1423, 4269, 7115

Step-4: Factors of 21359

List of positive integer factors of 21359 that divides 21345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21345 and 21359. The biggest common factor number is the GCF number.
So the greatest common factor 21345 and 21359 is 1.

Also check out the Least Common Multiple of 21345 and 21359