What is the Greatest Common Factor of 21376 and 21396?

Greatest common factor (GCF) of 21376 and 21396 is 4.

GCF(21376,21396) = 4

We will now calculate the prime factors of 21376 and 21396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21376 and 21396.

How to find the GCF of 21376 and 21396?

We will first find the prime factorization of 21376 and 21396. After we will calculate the factors of 21376 and 21396 and find the biggest common factor number .

Step-1: Prime Factorization of 21376

Prime factors of 21376 are 2, 167. Prime factorization of 21376 in exponential form is:

21376 = 2⁷ × 167¹

Step-2: 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-3: Factors of 21376

List of positive integer factors of 21376 that divides 21376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 334, 668, 1336, 2672, 5344, 10688

Step-4: Factors of 21396

List of positive integer factors of 21396 that divides 21376 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21376 and 21396. The biggest common factor number is the GCF number.
So the greatest common factor 21376 and 21396 is 4.

Also check out the Least Common Multiple of 21376 and 21396