What is the Greatest Common Factor of 21341 and 21345?

Greatest common factor (GCF) of 21341 and 21345 is 1.

GCF(21341,21345) = 1

We will now calculate the prime factors of 21341 and 21345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21341 and 21345.

How to find the GCF of 21341 and 21345?

We will first find the prime factorization of 21341 and 21345. After we will calculate the factors of 21341 and 21345 and find the biggest common factor number .

Step-1: Prime Factorization of 21341

Prime factors of 21341 are 21341. Prime factorization of 21341 in exponential form is:

21341 = 21341¹

Step-2: 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-3: Factors of 21341

List of positive integer factors of 21341 that divides 21341 without a remainder.

Step-4: Factors of 21345

List of positive integer factors of 21345 that divides 21341 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21341 and 21345. The biggest common factor number is the GCF number.
So the greatest common factor 21341 and 21345 is 1.

Also check out the Least Common Multiple of 21341 and 21345