What is the Greatest Common Factor of 12928 and 12948?

Greatest common factor (GCF) of 12928 and 12948 is 4.

GCF(12928,12948) = 4

We will now calculate the prime factors of 12928 and 12948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12928 and 12948.

How to find the GCF of 12928 and 12948?

We will first find the prime factorization of 12928 and 12948. After we will calculate the factors of 12928 and 12948 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 12948

Prime factors of 12948 are 2, 3, 13, 83. Prime factorization of 12948 in exponential form is:

12948 = 2² × 3¹ × 13¹ × 83¹

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 12948

List of positive integer factors of 12948 that divides 12928 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 83, 156, 166, 249, 332, 498, 996, 1079, 2158, 3237, 4316, 6474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12928 and 12948. The biggest common factor number is the GCF number.
So the greatest common factor 12928 and 12948 is 4.

Also check out the Least Common Multiple of 12928 and 12948