What is the Greatest Common Factor of 23254 and 23261?

Greatest common factor (GCF) of 23254 and 23261 is 7.

GCF(23254,23261) = 7

We will now calculate the prime factors of 23254 and 23261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23254 and 23261.

How to find the GCF of 23254 and 23261?

We will first find the prime factorization of 23254 and 23261. After we will calculate the factors of 23254 and 23261 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23261

Prime factors of 23261 are 7, 3323. Prime factorization of 23261 in exponential form is:

23261 = 7¹ × 3323¹

Step-3: Factors of 23254

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

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

Step-4: Factors of 23261

List of positive integer factors of 23261 that divides 23254 without a remainder.

1, 7, 3323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23254 and 23261. The biggest common factor number is the GCF number.
So the greatest common factor 23254 and 23261 is 7.

Also check out the Least Common Multiple of 23254 and 23261