What is the Greatest Common Factor of 4719 and 4738?

Greatest common factor (GCF) of 4719 and 4738 is 1.

GCF(4719,4738) = 1

We will now calculate the prime factors of 4719 and 4738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4719 and 4738.

How to find the GCF of 4719 and 4738?

We will first find the prime factorization of 4719 and 4738. After we will calculate the factors of 4719 and 4738 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 4738

Prime factors of 4738 are 2, 23, 103. Prime factorization of 4738 in exponential form is:

4738 = 2¹ × 23¹ × 103¹

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 4738

List of positive integer factors of 4738 that divides 4719 without a remainder.

1, 2, 23, 46, 103, 206, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4719 and 4738. The biggest common factor number is the GCF number.
So the greatest common factor 4719 and 4738 is 1.

Also check out the Least Common Multiple of 4719 and 4738