What is the Greatest Common Factor of 19408 and 19421?

Greatest common factor (GCF) of 19408 and 19421 is 1.

GCF(19408,19421) = 1

We will now calculate the prime factors of 19408 and 19421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19408 and 19421.

How to find the GCF of 19408 and 19421?

We will first find the prime factorization of 19408 and 19421. After we will calculate the factors of 19408 and 19421 and find the biggest common factor number .

Step-1: Prime Factorization of 19408

Prime factors of 19408 are 2, 1213. Prime factorization of 19408 in exponential form is:

19408 = 2⁴ × 1213¹

Step-2: Prime Factorization of 19421

Prime factors of 19421 are 19421. Prime factorization of 19421 in exponential form is:

19421 = 19421¹

Step-3: Factors of 19408

List of positive integer factors of 19408 that divides 19408 without a remainder.

1, 2, 4, 8, 16, 1213, 2426, 4852, 9704

Step-4: Factors of 19421

List of positive integer factors of 19421 that divides 19408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19408 and 19421. The biggest common factor number is the GCF number.
So the greatest common factor 19408 and 19421 is 1.

Also check out the Least Common Multiple of 19408 and 19421