What is the Greatest Common Factor of 21376 and 21382?

Greatest common factor (GCF) of 21376 and 21382 is 2.

GCF(21376,21382) = 2

We will now calculate the prime factors of 21376 and 21382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21376 and 21382.

How to find the GCF of 21376 and 21382?

We will first find the prime factorization of 21376 and 21382. After we will calculate the factors of 21376 and 21382 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 21382

Prime factors of 21382 are 2, 10691. Prime factorization of 21382 in exponential form is:

21382 = 2¹ × 10691¹

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 21382

List of positive integer factors of 21382 that divides 21376 without a remainder.

1, 2, 10691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21376 and 21382. The biggest common factor number is the GCF number.
So the greatest common factor 21376 and 21382 is 2.

Also check out the Least Common Multiple of 21376 and 21382