What is the Greatest Common Factor of 23268 and 23281?

Greatest common factor (GCF) of 23268 and 23281 is 1.

GCF(23268,23281) = 1

We will now calculate the prime factors of 23268 and 23281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23268 and 23281.

How to find the GCF of 23268 and 23281?

We will first find the prime factorization of 23268 and 23281. After we will calculate the factors of 23268 and 23281 and find the biggest common factor number .

Step-1: Prime Factorization of 23268

Prime factors of 23268 are 2, 3, 7, 277. Prime factorization of 23268 in exponential form is:

23268 = 2² × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 23281

Prime factors of 23281 are 31, 751. Prime factorization of 23281 in exponential form is:

23281 = 31¹ × 751¹

Step-3: Factors of 23268

List of positive integer factors of 23268 that divides 23268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 277, 554, 831, 1108, 1662, 1939, 3324, 3878, 5817, 7756, 11634

Step-4: Factors of 23281

List of positive integer factors of 23281 that divides 23268 without a remainder.

1, 31, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23268 and 23281. The biggest common factor number is the GCF number.
So the greatest common factor 23268 and 23281 is 1.

Also check out the Least Common Multiple of 23268 and 23281