What is the Greatest Common Factor of 23466 and 23474?

Greatest common factor (GCF) of 23466 and 23474 is 2.

GCF(23466,23474) = 2

We will now calculate the prime factors of 23466 and 23474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23466 and 23474.

How to find the GCF of 23466 and 23474?

We will first find the prime factorization of 23466 and 23474. After we will calculate the factors of 23466 and 23474 and find the biggest common factor number .

Step-1: Prime Factorization of 23466

Prime factors of 23466 are 2, 3, 3911. Prime factorization of 23466 in exponential form is:

23466 = 2¹ × 3¹ × 3911¹

Step-2: Prime Factorization of 23474

Prime factors of 23474 are 2, 11, 97. Prime factorization of 23474 in exponential form is:

23474 = 2¹ × 11² × 97¹

Step-3: Factors of 23466

List of positive integer factors of 23466 that divides 23466 without a remainder.

1, 2, 3, 6, 3911, 7822, 11733

Step-4: Factors of 23474

List of positive integer factors of 23474 that divides 23466 without a remainder.

1, 2, 11, 22, 97, 121, 194, 242, 1067, 2134, 11737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23466 and 23474. The biggest common factor number is the GCF number.
So the greatest common factor 23466 and 23474 is 2.

Also check out the Least Common Multiple of 23466 and 23474