What is the Greatest Common Factor of 23288 and 23305?

Greatest common factor (GCF) of 23288 and 23305 is 1.

GCF(23288,23305) = 1

We will now calculate the prime factors of 23288 and 23305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23288 and 23305.

How to find the GCF of 23288 and 23305?

We will first find the prime factorization of 23288 and 23305. After we will calculate the factors of 23288 and 23305 and find the biggest common factor number .

Step-1: Prime Factorization of 23288

Prime factors of 23288 are 2, 41, 71. Prime factorization of 23288 in exponential form is:

23288 = 2³ × 41¹ × 71¹

Step-2: Prime Factorization of 23305

Prime factors of 23305 are 5, 59, 79. Prime factorization of 23305 in exponential form is:

23305 = 5¹ × 59¹ × 79¹

Step-3: Factors of 23288

List of positive integer factors of 23288 that divides 23288 without a remainder.

1, 2, 4, 8, 41, 71, 82, 142, 164, 284, 328, 568, 2911, 5822, 11644

Step-4: Factors of 23305

List of positive integer factors of 23305 that divides 23288 without a remainder.

1, 5, 59, 79, 295, 395, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23288 and 23305. The biggest common factor number is the GCF number.
So the greatest common factor 23288 and 23305 is 1.

Also check out the Least Common Multiple of 23288 and 23305