What is the Greatest Common Factor of 4719 and 4728?

Greatest common factor (GCF) of 4719 and 4728 is 3.

GCF(4719,4728) = 3

We will now calculate the prime factors of 4719 and 4728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4719 and 4728.

How to find the GCF of 4719 and 4728?

We will first find the prime factorization of 4719 and 4728. After we will calculate the factors of 4719 and 4728 and find the biggest common factor number .

Step-1: Prime Factorization of 4719

Prime factors of 4719 are 3, 11, 13. Prime factorization of 4719 in exponential form is:

4719 = 3¹ × 11² × 13¹

Step-2: Prime Factorization of 4728

Prime factors of 4728 are 2, 3, 197. Prime factorization of 4728 in exponential form is:

4728 = 2³ × 3¹ × 197¹

Step-3: Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573

Step-4: Factors of 4728

List of positive integer factors of 4728 that divides 4719 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4719 and 4728. The biggest common factor number is the GCF number.
So the greatest common factor 4719 and 4728 is 3.

Also check out the Least Common Multiple of 4719 and 4728