What is the Greatest Common Factor of 21329 and 21338?

Greatest common factor (GCF) of 21329 and 21338 is 1.

GCF(21329,21338) = 1

We will now calculate the prime factors of 21329 and 21338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21329 and 21338.

How to find the GCF of 21329 and 21338?

We will first find the prime factorization of 21329 and 21338. After we will calculate the factors of 21329 and 21338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21338

Prime factors of 21338 are 2, 47, 227. Prime factorization of 21338 in exponential form is:

21338 = 2¹ × 47¹ × 227¹

Step-3: Factors of 21329

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

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

Step-4: Factors of 21338

List of positive integer factors of 21338 that divides 21329 without a remainder.

1, 2, 47, 94, 227, 454, 10669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21329 and 21338. The biggest common factor number is the GCF number.
So the greatest common factor 21329 and 21338 is 1.

Also check out the Least Common Multiple of 21329 and 21338