What is the Greatest Common Factor of 21369 and 21376?

Greatest common factor (GCF) of 21369 and 21376 is 1.

GCF(21369,21376) = 1

We will now calculate the prime factors of 21369 and 21376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21369 and 21376.

How to find the GCF of 21369 and 21376?

We will first find the prime factorization of 21369 and 21376. After we will calculate the factors of 21369 and 21376 and find the biggest common factor number .

Step-1: Prime Factorization of 21369

Prime factors of 21369 are 3, 17, 419. Prime factorization of 21369 in exponential form is:

21369 = 3¹ × 17¹ × 419¹

Step-2: Prime Factorization of 21376

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

21376 = 2⁷ × 167¹

Step-3: Factors of 21369

List of positive integer factors of 21369 that divides 21369 without a remainder.

1, 3, 17, 51, 419, 1257, 7123

Step-4: Factors of 21376

List of positive integer factors of 21376 that divides 21369 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21369 and 21376. The biggest common factor number is the GCF number.
So the greatest common factor 21369 and 21376 is 1.

Also check out the Least Common Multiple of 21369 and 21376