What is the Greatest Common Factor of 23458 and 23463?

Greatest common factor (GCF) of 23458 and 23463 is 1.

GCF(23458,23463) = 1

We will now calculate the prime factors of 23458 and 23463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23458 and 23463.

How to find the GCF of 23458 and 23463?

We will first find the prime factorization of 23458 and 23463. After we will calculate the factors of 23458 and 23463 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 23463

Prime factors of 23463 are 3, 11, 79. Prime factorization of 23463 in exponential form is:

23463 = 3³ × 11¹ × 79¹

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 23463

List of positive integer factors of 23463 that divides 23458 without a remainder.

1, 3, 9, 11, 27, 33, 79, 99, 237, 297, 711, 869, 2133, 2607, 7821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23458 and 23463. The biggest common factor number is the GCF number.
So the greatest common factor 23458 and 23463 is 1.

Also check out the Least Common Multiple of 23458 and 23463