What is the Greatest Common Factor of 14928 and 14946?

Greatest common factor (GCF) of 14928 and 14946 is 6.

GCF(14928,14946) = 6

We will now calculate the prime factors of 14928 and 14946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14928 and 14946.

How to find the GCF of 14928 and 14946?

We will first find the prime factorization of 14928 and 14946. After we will calculate the factors of 14928 and 14946 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 14946

Prime factors of 14946 are 2, 3, 47, 53. Prime factorization of 14946 in exponential form is:

14946 = 2¹ × 3¹ × 47¹ × 53¹

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 14946

List of positive integer factors of 14946 that divides 14928 without a remainder.

1, 2, 3, 6, 47, 53, 94, 106, 141, 159, 282, 318, 2491, 4982, 7473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14928 and 14946. The biggest common factor number is the GCF number.
So the greatest common factor 14928 and 14946 is 6.

Also check out the Least Common Multiple of 14928 and 14946