What is the Greatest Common Factor of 23421 and 23438?

Greatest common factor (GCF) of 23421 and 23438 is 1.

GCF(23421,23438) = 1

We will now calculate the prime factors of 23421 and 23438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23421 and 23438.

How to find the GCF of 23421 and 23438?

We will first find the prime factorization of 23421 and 23438. After we will calculate the factors of 23421 and 23438 and find the biggest common factor number .

Step-1: Prime Factorization of 23421

Prime factors of 23421 are 3, 37, 211. Prime factorization of 23421 in exponential form is:

23421 = 3¹ × 37¹ × 211¹

Step-2: Prime Factorization of 23438

Prime factors of 23438 are 2, 11719. Prime factorization of 23438 in exponential form is:

23438 = 2¹ × 11719¹

Step-3: Factors of 23421

List of positive integer factors of 23421 that divides 23421 without a remainder.

1, 3, 37, 111, 211, 633, 7807

Step-4: Factors of 23438

List of positive integer factors of 23438 that divides 23421 without a remainder.

1, 2, 11719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23421 and 23438. The biggest common factor number is the GCF number.
So the greatest common factor 23421 and 23438 is 1.

Also check out the Least Common Multiple of 23421 and 23438