What is the Greatest Common Factor of 21376 and 21392?

Greatest common factor (GCF) of 21376 and 21392 is 16.

GCF(21376,21392) = 16

We will now calculate the prime factors of 21376 and 21392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21376 and 21392.

How to find the GCF of 21376 and 21392?

We will first find the prime factorization of 21376 and 21392. After we will calculate the factors of 21376 and 21392 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 21392

Prime factors of 21392 are 2, 7, 191. Prime factorization of 21392 in exponential form is:

21392 = 2⁴ × 7¹ × 191¹

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 21392

List of positive integer factors of 21392 that divides 21376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 191, 382, 764, 1337, 1528, 2674, 3056, 5348, 10696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21376 and 21392. The biggest common factor number is the GCF number.
So the greatest common factor 21376 and 21392 is 16.

Also check out the Least Common Multiple of 21376 and 21392