What is the Greatest Common Factor of 23243 and 23254?

Greatest common factor (GCF) of 23243 and 23254 is 11.

GCF(23243,23254) = 11

We will now calculate the prime factors of 23243 and 23254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23243 and 23254.

How to find the GCF of 23243 and 23254?

We will first find the prime factorization of 23243 and 23254. After we will calculate the factors of 23243 and 23254 and find the biggest common factor number .

Step-1: Prime Factorization of 23243

Prime factors of 23243 are 11, 2113. Prime factorization of 23243 in exponential form is:

23243 = 11¹ × 2113¹

Step-2: Prime Factorization of 23254

Prime factors of 23254 are 2, 7, 11, 151. Prime factorization of 23254 in exponential form is:

23254 = 2¹ × 7¹ × 11¹ × 151¹

Step-3: Factors of 23243

List of positive integer factors of 23243 that divides 23243 without a remainder.

1, 11, 2113

Step-4: Factors of 23254

List of positive integer factors of 23254 that divides 23243 without a remainder.

1, 2, 7, 11, 14, 22, 77, 151, 154, 302, 1057, 1661, 2114, 3322, 11627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23243 and 23254. The biggest common factor number is the GCF number.
So the greatest common factor 23243 and 23254 is 11.

Also check out the Least Common Multiple of 23243 and 23254