What is the Greatest Common Factor of 4788 and 4795?

Greatest common factor (GCF) of 4788 and 4795 is 7.

GCF(4788,4795) = 7

We will now calculate the prime factors of 4788 and 4795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4788 and 4795.

How to find the GCF of 4788 and 4795?

We will first find the prime factorization of 4788 and 4795. After we will calculate the factors of 4788 and 4795 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 4795

Prime factors of 4795 are 5, 7, 137. Prime factorization of 4795 in exponential form is:

4795 = 5¹ × 7¹ × 137¹

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 4795

List of positive integer factors of 4795 that divides 4788 without a remainder.

1, 5, 7, 35, 137, 685, 959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4788 and 4795. The biggest common factor number is the GCF number.
So the greatest common factor 4788 and 4795 is 7.

Also check out the Least Common Multiple of 4788 and 4795