What is the Greatest Common Factor of 21388 and 21406?

Greatest common factor (GCF) of 21388 and 21406 is 2.

GCF(21388,21406) = 2

We will now calculate the prime factors of 21388 and 21406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21388 and 21406.

How to find the GCF of 21388 and 21406?

We will first find the prime factorization of 21388 and 21406. After we will calculate the factors of 21388 and 21406 and find the biggest common factor number .

Step-1: Prime Factorization of 21388

Prime factors of 21388 are 2, 5347. Prime factorization of 21388 in exponential form is:

21388 = 2² × 5347¹

Step-2: Prime Factorization of 21406

Prime factors of 21406 are 2, 7, 11, 139. Prime factorization of 21406 in exponential form is:

21406 = 2¹ × 7¹ × 11¹ × 139¹

Step-3: Factors of 21388

List of positive integer factors of 21388 that divides 21388 without a remainder.

1, 2, 4, 5347, 10694

Step-4: Factors of 21406

List of positive integer factors of 21406 that divides 21388 without a remainder.

1, 2, 7, 11, 14, 22, 77, 139, 154, 278, 973, 1529, 1946, 3058, 10703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21388 and 21406. The biggest common factor number is the GCF number.
So the greatest common factor 21388 and 21406 is 2.

Also check out the Least Common Multiple of 21388 and 21406