What is the Greatest Common Factor of 21314 and 21323?

Greatest common factor (GCF) of 21314 and 21323 is 1.

GCF(21314,21323) = 1

We will now calculate the prime factors of 21314 and 21323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21314 and 21323.

How to find the GCF of 21314 and 21323?

We will first find the prime factorization of 21314 and 21323. After we will calculate the factors of 21314 and 21323 and find the biggest common factor number .

Step-1: Prime Factorization of 21314

Prime factors of 21314 are 2, 10657. Prime factorization of 21314 in exponential form is:

21314 = 2¹ × 10657¹

Step-2: Prime Factorization of 21323

Prime factors of 21323 are 21323. Prime factorization of 21323 in exponential form is:

21323 = 21323¹

Step-3: Factors of 21314

List of positive integer factors of 21314 that divides 21314 without a remainder.

1, 2, 10657

Step-4: Factors of 21323

List of positive integer factors of 21323 that divides 21314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21314 and 21323. The biggest common factor number is the GCF number.
So the greatest common factor 21314 and 21323 is 1.

Also check out the Least Common Multiple of 21314 and 21323