What is the Greatest Common Factor of 4785 and 4805?

Greatest common factor (GCF) of 4785 and 4805 is 5.

GCF(4785,4805) = 5

We will now calculate the prime factors of 4785 and 4805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4785 and 4805.

How to find the GCF of 4785 and 4805?

We will first find the prime factorization of 4785 and 4805. After we will calculate the factors of 4785 and 4805 and find the biggest common factor number .

Step-1: Prime Factorization of 4785

Prime factors of 4785 are 3, 5, 11, 29. Prime factorization of 4785 in exponential form is:

4785 = 3¹ × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 4805

Prime factors of 4805 are 5, 31. Prime factorization of 4805 in exponential form is:

4805 = 5¹ × 31²

Step-3: Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595

Step-4: Factors of 4805

List of positive integer factors of 4805 that divides 4785 without a remainder.

1, 5, 31, 155, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4785 and 4805. The biggest common factor number is the GCF number.
So the greatest common factor 4785 and 4805 is 5.

Also check out the Least Common Multiple of 4785 and 4805