What is the Greatest Common Factor of 14928 and 14932?

Greatest common factor (GCF) of 14928 and 14932 is 4.

GCF(14928,14932) = 4

We will now calculate the prime factors of 14928 and 14932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14928 and 14932.

How to find the GCF of 14928 and 14932?

We will first find the prime factorization of 14928 and 14932. After we will calculate the factors of 14928 and 14932 and find the biggest common factor number .

Step-1: Prime Factorization of 14928

Prime factors of 14928 are 2, 3, 311. Prime factorization of 14928 in exponential form is:

14928 = 2⁴ × 3¹ × 311¹

Step-2: Prime Factorization of 14932

Prime factors of 14932 are 2, 3733. Prime factorization of 14932 in exponential form is:

14932 = 2² × 3733¹

Step-3: Factors of 14928

List of positive integer factors of 14928 that divides 14928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464

Step-4: Factors of 14932

List of positive integer factors of 14932 that divides 14928 without a remainder.

1, 2, 4, 3733, 7466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14928 and 14932. The biggest common factor number is the GCF number.
So the greatest common factor 14928 and 14932 is 4.

Also check out the Least Common Multiple of 14928 and 14932