What is the Greatest Common Factor of 4785 and 4797?

Greatest common factor (GCF) of 4785 and 4797 is 3.

GCF(4785,4797) = 3

We will now calculate the prime factors of 4785 and 4797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4785 and 4797.

How to find the GCF of 4785 and 4797?

We will first find the prime factorization of 4785 and 4797. After we will calculate the factors of 4785 and 4797 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 4797

Prime factors of 4797 are 3, 13, 41. Prime factorization of 4797 in exponential form is:

4797 = 3² × 13¹ × 41¹

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 4797

List of positive integer factors of 4797 that divides 4785 without a remainder.

1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4785 and 4797. The biggest common factor number is the GCF number.
So the greatest common factor 4785 and 4797 is 3.

Also check out the Least Common Multiple of 4785 and 4797