What is the Greatest Common Factor of 23478 and 23494?

Greatest common factor (GCF) of 23478 and 23494 is 2.

GCF(23478,23494) = 2

We will now calculate the prime factors of 23478 and 23494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23478 and 23494.

How to find the GCF of 23478 and 23494?

We will first find the prime factorization of 23478 and 23494. After we will calculate the factors of 23478 and 23494 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 23494

Prime factors of 23494 are 2, 17, 691. Prime factorization of 23494 in exponential form is:

23494 = 2¹ × 17¹ × 691¹

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 23494

List of positive integer factors of 23494 that divides 23478 without a remainder.

1, 2, 17, 34, 691, 1382, 11747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23478 and 23494. The biggest common factor number is the GCF number.
So the greatest common factor 23478 and 23494 is 2.

Also check out the Least Common Multiple of 23478 and 23494