What is the Greatest Common Factor of 21329 and 21343?

Greatest common factor (GCF) of 21329 and 21343 is 7.

GCF(21329,21343) = 7

We will now calculate the prime factors of 21329 and 21343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21329 and 21343.

How to find the GCF of 21329 and 21343?

We will first find the prime factorization of 21329 and 21343. After we will calculate the factors of 21329 and 21343 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 21343

Prime factors of 21343 are 7, 3049. Prime factorization of 21343 in exponential form is:

21343 = 7¹ × 3049¹

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 21343

List of positive integer factors of 21343 that divides 21329 without a remainder.

1, 7, 3049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21329 and 21343. The biggest common factor number is the GCF number.
So the greatest common factor 21329 and 21343 is 7.

Also check out the Least Common Multiple of 21329 and 21343