What is the Greatest Common Factor of 4797 and 4810?

Greatest common factor (GCF) of 4797 and 4810 is 13.

GCF(4797,4810) = 13

We will now calculate the prime factors of 4797 and 4810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4797 and 4810.

How to find the GCF of 4797 and 4810?

We will first find the prime factorization of 4797 and 4810. After we will calculate the factors of 4797 and 4810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4810

Prime factors of 4810 are 2, 5, 13, 37. Prime factorization of 4810 in exponential form is:

4810 = 2¹ × 5¹ × 13¹ × 37¹

Step-3: Factors of 4797

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

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

Step-4: Factors of 4810

List of positive integer factors of 4810 that divides 4797 without a remainder.

1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4797 and 4810. The biggest common factor number is the GCF number.
So the greatest common factor 4797 and 4810 is 13.

Also check out the Least Common Multiple of 4797 and 4810