What is the Greatest Common Factor of 23463 and 23474?

Greatest common factor (GCF) of 23463 and 23474 is 11.

GCF(23463,23474) = 11

We will now calculate the prime factors of 23463 and 23474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23463 and 23474.

How to find the GCF of 23463 and 23474?

We will first find the prime factorization of 23463 and 23474. After we will calculate the factors of 23463 and 23474 and find the biggest common factor number .

Step-1: Prime Factorization of 23463

Prime factors of 23463 are 3, 11, 79. Prime factorization of 23463 in exponential form is:

23463 = 3³ × 11¹ × 79¹

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 23463

List of positive integer factors of 23463 that divides 23463 without a remainder.

1, 3, 9, 11, 27, 33, 79, 99, 237, 297, 711, 869, 2133, 2607, 7821

Step-4: Factors of 23474

List of positive integer factors of 23474 that divides 23463 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 23463 and 23474. The biggest common factor number is the GCF number.
So the greatest common factor 23463 and 23474 is 11.

Also check out the Least Common Multiple of 23463 and 23474