What is the Greatest Common Factor of 23454 and 23469?

Greatest common factor (GCF) of 23454 and 23469 is 3.

GCF(23454,23469) = 3

We will now calculate the prime factors of 23454 and 23469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23454 and 23469.

How to find the GCF of 23454 and 23469?

We will first find the prime factorization of 23454 and 23469. After we will calculate the factors of 23454 and 23469 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23469

Prime factors of 23469 are 3, 7823. Prime factorization of 23469 in exponential form is:

23469 = 3¹ × 7823¹

Step-3: Factors of 23454

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

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

Step-4: Factors of 23469

List of positive integer factors of 23469 that divides 23454 without a remainder.

1, 3, 7823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23454 and 23469. The biggest common factor number is the GCF number.
So the greatest common factor 23454 and 23469 is 3.

Also check out the Least Common Multiple of 23454 and 23469