What is the Greatest Common Factor of 23458 and 23469?

Greatest common factor (GCF) of 23458 and 23469 is 1.

GCF(23458,23469) = 1

We will now calculate the prime factors of 23458 and 23469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23458 and 23469.

How to find the GCF of 23458 and 23469?

We will first find the prime factorization of 23458 and 23469. After we will calculate the factors of 23458 and 23469 and find the biggest common factor number .

Step-1: Prime Factorization of 23458

Prime factors of 23458 are 2, 37, 317. Prime factorization of 23458 in exponential form is:

23458 = 2¹ × 37¹ × 317¹

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 23458

List of positive integer factors of 23458 that divides 23458 without a remainder.

1, 2, 37, 74, 317, 634, 11729

Step-4: Factors of 23469

List of positive integer factors of 23469 that divides 23458 without a remainder.

1, 3, 7823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23458 and 23469. The biggest common factor number is the GCF number.
So the greatest common factor 23458 and 23469 is 1.

Also check out the Least Common Multiple of 23458 and 23469