What is the Greatest Common Factor of 21314 and 21329?

Greatest common factor (GCF) of 21314 and 21329 is 1.

GCF(21314,21329) = 1

We will now calculate the prime factors of 21314 and 21329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21314 and 21329.

How to find the GCF of 21314 and 21329?

We will first find the prime factorization of 21314 and 21329. After we will calculate the factors of 21314 and 21329 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 21329

Prime factors of 21329 are 7, 11, 277. Prime factorization of 21329 in exponential form is:

21329 = 7¹ × 11¹ × 277¹

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 21329

List of positive integer factors of 21329 that divides 21314 without a remainder.

1, 7, 11, 77, 277, 1939, 3047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21314 and 21329. The biggest common factor number is the GCF number.
So the greatest common factor 21314 and 21329 is 1.

Also check out the Least Common Multiple of 21314 and 21329