What is the Greatest Common Factor of 21392 and 21409?

Greatest common factor (GCF) of 21392 and 21409 is 1.

GCF(21392,21409) = 1

We will now calculate the prime factors of 21392 and 21409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21392 and 21409.

How to find the GCF of 21392 and 21409?

We will first find the prime factorization of 21392 and 21409. After we will calculate the factors of 21392 and 21409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21409

Prime factors of 21409 are 79, 271. Prime factorization of 21409 in exponential form is:

21409 = 79¹ × 271¹

Step-3: Factors of 21392

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

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

Step-4: Factors of 21409

List of positive integer factors of 21409 that divides 21392 without a remainder.

1, 79, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21392 and 21409. The biggest common factor number is the GCF number.
So the greatest common factor 21392 and 21409 is 1.

Also check out the Least Common Multiple of 21392 and 21409