What is the Greatest Common Factor of 23478 and 23492?

Greatest common factor (GCF) of 23478 and 23492 is 14.

GCF(23478,23492) = 14

We will now calculate the prime factors of 23478 and 23492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23478 and 23492.

How to find the GCF of 23478 and 23492?

We will first find the prime factorization of 23478 and 23492. After we will calculate the factors of 23478 and 23492 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 23492

Prime factors of 23492 are 2, 7, 839. Prime factorization of 23492 in exponential form is:

23492 = 2² × 7¹ × 839¹

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 23492

List of positive integer factors of 23492 that divides 23478 without a remainder.

1, 2, 4, 7, 14, 28, 839, 1678, 3356, 5873, 11746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23478 and 23492. The biggest common factor number is the GCF number.
So the greatest common factor 23478 and 23492 is 14.

Also check out the Least Common Multiple of 23478 and 23492