What is the Greatest Common Factor of 14919 and 14928?

Greatest common factor (GCF) of 14919 and 14928 is 3.

GCF(14919,14928) = 3

We will now calculate the prime factors of 14919 and 14928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14919 and 14928.

How to find the GCF of 14919 and 14928?

We will first find the prime factorization of 14919 and 14928. After we will calculate the factors of 14919 and 14928 and find the biggest common factor number .

Step-1: Prime Factorization of 14919

Prime factors of 14919 are 3, 4973. Prime factorization of 14919 in exponential form is:

14919 = 3¹ × 4973¹

Step-2: 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-3: Factors of 14919

List of positive integer factors of 14919 that divides 14919 without a remainder.

1, 3, 4973

Step-4: Factors of 14928

List of positive integer factors of 14928 that divides 14919 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14919 and 14928. The biggest common factor number is the GCF number.
So the greatest common factor 14919 and 14928 is 3.

Also check out the Least Common Multiple of 14919 and 14928