What is the Greatest Common Factor of 4788 and 4799?

Greatest common factor (GCF) of 4788 and 4799 is 1.

GCF(4788,4799) = 1

We will now calculate the prime factors of 4788 and 4799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4788 and 4799.

How to find the GCF of 4788 and 4799?

We will first find the prime factorization of 4788 and 4799. After we will calculate the factors of 4788 and 4799 and find the biggest common factor number .

Step-1: Prime Factorization of 4788

Prime factors of 4788 are 2, 3, 7, 19. Prime factorization of 4788 in exponential form is:

4788 = 2² × 3² × 7¹ × 19¹

Step-2: Prime Factorization of 4799

Prime factors of 4799 are 4799. Prime factorization of 4799 in exponential form is:

4799 = 4799¹

Step-3: Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394

Step-4: Factors of 4799

List of positive integer factors of 4799 that divides 4788 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4788 and 4799. The biggest common factor number is the GCF number.
So the greatest common factor 4788 and 4799 is 1.

Also check out the Least Common Multiple of 4788 and 4799