What is the Greatest Common Factor of 23465 and 23478?

Greatest common factor (GCF) of 23465 and 23478 is 13.

GCF(23465,23478) = 13

We will now calculate the prime factors of 23465 and 23478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23465 and 23478.

How to find the GCF of 23465 and 23478?

We will first find the prime factorization of 23465 and 23478. After we will calculate the factors of 23465 and 23478 and find the biggest common factor number .

Step-1: Prime Factorization of 23465

Prime factors of 23465 are 5, 13, 19. Prime factorization of 23465 in exponential form is:

23465 = 5¹ × 13¹ × 19²

Step-2: Prime Factorization of 23478

Prime factors of 23478 are 2, 3, 7, 13, 43. Prime factorization of 23478 in exponential form is:

23478 = 2¹ × 3¹ × 7¹ × 13¹ × 43¹

Step-3: Factors of 23465

List of positive integer factors of 23465 that divides 23465 without a remainder.

1, 5, 13, 19, 65, 95, 247, 361, 1235, 1805, 4693

Step-4: Factors of 23478

List of positive integer factors of 23478 that divides 23465 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 43, 78, 86, 91, 129, 182, 258, 273, 301, 546, 559, 602, 903, 1118, 1677, 1806, 3354, 3913, 7826, 11739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23465 and 23478. The biggest common factor number is the GCF number.
So the greatest common factor 23465 and 23478 is 13.

Also check out the Least Common Multiple of 23465 and 23478