What is the Greatest Common Factor of 4770 and 4788?

Greatest common factor (GCF) of 4770 and 4788 is 18.

GCF(4770,4788) = 18

We will now calculate the prime factors of 4770 and 4788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4770 and 4788.

How to find the GCF of 4770 and 4788?

We will first find the prime factorization of 4770 and 4788. After we will calculate the factors of 4770 and 4788 and find the biggest common factor number .

Step-1: Prime Factorization of 4770

Prime factors of 4770 are 2, 3, 5, 53. Prime factorization of 4770 in exponential form is:

4770 = 2¹ × 3² × 5¹ × 53¹

Step-2: 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-3: Factors of 4770

List of positive integer factors of 4770 that divides 4770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385

Step-4: Factors of 4788

List of positive integer factors of 4788 that divides 4770 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4770 and 4788. The biggest common factor number is the GCF number.
So the greatest common factor 4770 and 4788 is 18.

Also check out the Least Common Multiple of 4770 and 4788