What is the Greatest Common Factor of 12928 and 12945?

Greatest common factor (GCF) of 12928 and 12945 is 1.

GCF(12928,12945) = 1

We will now calculate the prime factors of 12928 and 12945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12928 and 12945.

How to find the GCF of 12928 and 12945?

We will first find the prime factorization of 12928 and 12945. After we will calculate the factors of 12928 and 12945 and find the biggest common factor number .

Step-1: Prime Factorization of 12928

Prime factors of 12928 are 2, 101. Prime factorization of 12928 in exponential form is:

12928 = 2⁷ × 101¹

Step-2: Prime Factorization of 12945

Prime factors of 12945 are 3, 5, 863. Prime factorization of 12945 in exponential form is:

12945 = 3¹ × 5¹ × 863¹

Step-3: Factors of 12928

List of positive integer factors of 12928 that divides 12928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 404, 808, 1616, 3232, 6464

Step-4: Factors of 12945

List of positive integer factors of 12945 that divides 12928 without a remainder.

1, 3, 5, 15, 863, 2589, 4315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12928 and 12945. The biggest common factor number is the GCF number.
So the greatest common factor 12928 and 12945 is 1.

Also check out the Least Common Multiple of 12928 and 12945