What is the Greatest Common Factor of 21328 and 21340?

Greatest common factor (GCF) of 21328 and 21340 is 4.

GCF(21328,21340) = 4

We will now calculate the prime factors of 21328 and 21340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21328 and 21340.

How to find the GCF of 21328 and 21340?

We will first find the prime factorization of 21328 and 21340. After we will calculate the factors of 21328 and 21340 and find the biggest common factor number .

Step-1: Prime Factorization of 21328

Prime factors of 21328 are 2, 31, 43. Prime factorization of 21328 in exponential form is:

21328 = 2⁴ × 31¹ × 43¹

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 21328

List of positive integer factors of 21328 that divides 21328 without a remainder.

1, 2, 4, 8, 16, 31, 43, 62, 86, 124, 172, 248, 344, 496, 688, 1333, 2666, 5332, 10664

Step-4: Factors of 21340

List of positive integer factors of 21340 that divides 21328 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 21328 and 21340. The biggest common factor number is the GCF number.
So the greatest common factor 21328 and 21340 is 4.

Also check out the Least Common Multiple of 21328 and 21340