What is the Greatest Common Factor of 23260 and 23266?

Greatest common factor (GCF) of 23260 and 23266 is 2.

GCF(23260,23266) = 2

We will now calculate the prime factors of 23260 and 23266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23260 and 23266.

How to find the GCF of 23260 and 23266?

We will first find the prime factorization of 23260 and 23266. After we will calculate the factors of 23260 and 23266 and find the biggest common factor number .

Step-1: Prime Factorization of 23260

Prime factors of 23260 are 2, 5, 1163. Prime factorization of 23260 in exponential form is:

23260 = 2² × 5¹ × 1163¹

Step-2: Prime Factorization of 23266

Prime factors of 23266 are 2, 11633. Prime factorization of 23266 in exponential form is:

23266 = 2¹ × 11633¹

Step-3: Factors of 23260

List of positive integer factors of 23260 that divides 23260 without a remainder.

1, 2, 4, 5, 10, 20, 1163, 2326, 4652, 5815, 11630

Step-4: Factors of 23266

List of positive integer factors of 23266 that divides 23260 without a remainder.

1, 2, 11633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23260 and 23266. The biggest common factor number is the GCF number.
So the greatest common factor 23260 and 23266 is 2.

Also check out the Least Common Multiple of 23260 and 23266