What is the Greatest Common Factor of 21398 and 21412?

Greatest common factor (GCF) of 21398 and 21412 is 2.

GCF(21398,21412) = 2

We will now calculate the prime factors of 21398 and 21412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21398 and 21412.

How to find the GCF of 21398 and 21412?

We will first find the prime factorization of 21398 and 21412. After we will calculate the factors of 21398 and 21412 and find the biggest common factor number .

Step-1: Prime Factorization of 21398

Prime factors of 21398 are 2, 13, 823. Prime factorization of 21398 in exponential form is:

21398 = 2¹ × 13¹ × 823¹

Step-2: Prime Factorization of 21412

Prime factors of 21412 are 2, 53, 101. Prime factorization of 21412 in exponential form is:

21412 = 2² × 53¹ × 101¹

Step-3: Factors of 21398

List of positive integer factors of 21398 that divides 21398 without a remainder.

1, 2, 13, 26, 823, 1646, 10699

Step-4: Factors of 21412

List of positive integer factors of 21412 that divides 21398 without a remainder.

1, 2, 4, 53, 101, 106, 202, 212, 404, 5353, 10706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21398 and 21412. The biggest common factor number is the GCF number.
So the greatest common factor 21398 and 21412 is 2.

Also check out the Least Common Multiple of 21398 and 21412