What is the Greatest Common Factor of 19421 and 19431?

Greatest common factor (GCF) of 19421 and 19431 is 1.

GCF(19421,19431) = 1

We will now calculate the prime factors of 19421 and 19431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19421 and 19431.

How to find the GCF of 19421 and 19431?

We will first find the prime factorization of 19421 and 19431. After we will calculate the factors of 19421 and 19431 and find the biggest common factor number .

Step-1: Prime Factorization of 19421

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

19421 = 19421¹

Step-2: Prime Factorization of 19431

Prime factors of 19431 are 3, 17, 127. Prime factorization of 19431 in exponential form is:

19431 = 3² × 17¹ × 127¹

Step-3: Factors of 19421

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

Step-4: Factors of 19431

List of positive integer factors of 19431 that divides 19421 without a remainder.

1, 3, 9, 17, 51, 127, 153, 381, 1143, 2159, 6477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19421 and 19431. The biggest common factor number is the GCF number.
So the greatest common factor 19421 and 19431 is 1.

Also check out the Least Common Multiple of 19421 and 19431