What is the Greatest Common Factor of 23478 and 23488?

Greatest common factor (GCF) of 23478 and 23488 is 2.

GCF(23478,23488) = 2

We will now calculate the prime factors of 23478 and 23488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23478 and 23488.

How to find the GCF of 23478 and 23488?

We will first find the prime factorization of 23478 and 23488. After we will calculate the factors of 23478 and 23488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23488

Prime factors of 23488 are 2, 367. Prime factorization of 23488 in exponential form is:

23488 = 2⁶ × 367¹

Step-3: Factors of 23478

List of positive integer factors of 23478 that divides 23478 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

Step-4: Factors of 23488

List of positive integer factors of 23488 that divides 23478 without a remainder.

1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23478 and 23488. The biggest common factor number is the GCF number.
So the greatest common factor 23478 and 23488 is 2.

Also check out the Least Common Multiple of 23478 and 23488