What is the Greatest Common Factor of 23471 and 23478?

Greatest common factor (GCF) of 23471 and 23478 is 7.

GCF(23471,23478) = 7

We will now calculate the prime factors of 23471 and 23478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23471 and 23478.

How to find the GCF of 23471 and 23478?

We will first find the prime factorization of 23471 and 23478. After we will calculate the factors of 23471 and 23478 and find the biggest common factor number .

Step-1: Prime Factorization of 23471

Prime factors of 23471 are 7, 479. Prime factorization of 23471 in exponential form is:

23471 = 7² × 479¹

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 23471

List of positive integer factors of 23471 that divides 23471 without a remainder.

1, 7, 49, 479, 3353

Step-4: Factors of 23478

List of positive integer factors of 23478 that divides 23471 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 23471 and 23478. The biggest common factor number is the GCF number.
So the greatest common factor 23471 and 23478 is 7.

Also check out the Least Common Multiple of 23471 and 23478