What is the Greatest Common Factor of 21335 and 21341?

Greatest common factor (GCF) of 21335 and 21341 is 1.

GCF(21335,21341) = 1

We will now calculate the prime factors of 21335 and 21341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21335 and 21341.

How to find the GCF of 21335 and 21341?

We will first find the prime factorization of 21335 and 21341. After we will calculate the factors of 21335 and 21341 and find the biggest common factor number .

Step-1: Prime Factorization of 21335

Prime factors of 21335 are 5, 17, 251. Prime factorization of 21335 in exponential form is:

21335 = 5¹ × 17¹ × 251¹

Step-2: Prime Factorization of 21341

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

21341 = 21341¹

Step-3: Factors of 21335

List of positive integer factors of 21335 that divides 21335 without a remainder.

1, 5, 17, 85, 251, 1255, 4267

Step-4: Factors of 21341

List of positive integer factors of 21341 that divides 21335 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21335 and 21341. The biggest common factor number is the GCF number.
So the greatest common factor 21335 and 21341 is 1.

Also check out the Least Common Multiple of 21335 and 21341