What is the Greatest Common Factor of 23438 and 23454?

Greatest common factor (GCF) of 23438 and 23454 is 2.

GCF(23438,23454) = 2

We will now calculate the prime factors of 23438 and 23454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23438 and 23454.

How to find the GCF of 23438 and 23454?

We will first find the prime factorization of 23438 and 23454. After we will calculate the factors of 23438 and 23454 and find the biggest common factor number .

Step-1: Prime Factorization of 23438

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

23438 = 2¹ × 11719¹

Step-2: Prime Factorization of 23454

Prime factors of 23454 are 2, 3, 1303. Prime factorization of 23454 in exponential form is:

23454 = 2¹ × 3² × 1303¹

Step-3: Factors of 23438

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

1, 2, 11719

Step-4: Factors of 23454

List of positive integer factors of 23454 that divides 23438 without a remainder.

1, 2, 3, 6, 9, 18, 1303, 2606, 3909, 7818, 11727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23438 and 23454. The biggest common factor number is the GCF number.
So the greatest common factor 23438 and 23454 is 2.

Also check out the Least Common Multiple of 23438 and 23454