What is the Greatest Common Factor of 21329 and 21340?

Greatest common factor (GCF) of 21329 and 21340 is 11.

GCF(21329,21340) = 11

We will now calculate the prime factors of 21329 and 21340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21329 and 21340.

How to find the GCF of 21329 and 21340?

We will first find the prime factorization of 21329 and 21340. After we will calculate the factors of 21329 and 21340 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 21340

Prime factors of 21340 are 2, 5, 11, 97. Prime factorization of 21340 in exponential form is:

21340 = 2² × 5¹ × 11¹ × 97¹

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 21340

List of positive integer factors of 21340 that divides 21329 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 97, 110, 194, 220, 388, 485, 970, 1067, 1940, 2134, 4268, 5335, 10670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21329 and 21340. The biggest common factor number is the GCF number.
So the greatest common factor 21329 and 21340 is 11.

Also check out the Least Common Multiple of 21329 and 21340