What is the Greatest Common Factor of 21396 and 21416?

Greatest common factor (GCF) of 21396 and 21416 is 4.

GCF(21396,21416) = 4

We will now calculate the prime factors of 21396 and 21416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21396 and 21416.

How to find the GCF of 21396 and 21416?

We will first find the prime factorization of 21396 and 21416. After we will calculate the factors of 21396 and 21416 and find the biggest common factor number .

Step-1: Prime Factorization of 21396

Prime factors of 21396 are 2, 3, 1783. Prime factorization of 21396 in exponential form is:

21396 = 2² × 3¹ × 1783¹

Step-2: Prime Factorization of 21416

Prime factors of 21416 are 2, 2677. Prime factorization of 21416 in exponential form is:

21416 = 2³ × 2677¹

Step-3: Factors of 21396

List of positive integer factors of 21396 that divides 21396 without a remainder.

1, 2, 3, 4, 6, 12, 1783, 3566, 5349, 7132, 10698

Step-4: Factors of 21416

List of positive integer factors of 21416 that divides 21396 without a remainder.

1, 2, 4, 8, 2677, 5354, 10708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21396 and 21416. The biggest common factor number is the GCF number.
So the greatest common factor 21396 and 21416 is 4.

Also check out the Least Common Multiple of 21396 and 21416