What is the Greatest Common Factor of 4784 and 4797?

Greatest common factor (GCF) of 4784 and 4797 is 13.

GCF(4784,4797) = 13

We will now calculate the prime factors of 4784 and 4797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4784 and 4797.

How to find the GCF of 4784 and 4797?

We will first find the prime factorization of 4784 and 4797. After we will calculate the factors of 4784 and 4797 and find the biggest common factor number .

Step-1: Prime Factorization of 4784

Prime factors of 4784 are 2, 13, 23. Prime factorization of 4784 in exponential form is:

4784 = 2⁴ × 13¹ × 23¹

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 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392

Step-4: Factors of 4797

List of positive integer factors of 4797 that divides 4784 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 4784 and 4797. The biggest common factor number is the GCF number.
So the greatest common factor 4784 and 4797 is 13.

Also check out the Least Common Multiple of 4784 and 4797