What is the Greatest Common Factor of 47396 and 47413?

Greatest common factor (GCF) of 47396 and 47413 is 17.

GCF(47396,47413) = 17

We will now calculate the prime factors of 47396 and 47413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47396 and 47413.

How to find the GCF of 47396 and 47413?

We will first find the prime factorization of 47396 and 47413. After we will calculate the factors of 47396 and 47413 and find the biggest common factor number .

Step-1: Prime Factorization of 47396

Prime factors of 47396 are 2, 17, 41. Prime factorization of 47396 in exponential form is:

47396 = 2² × 17² × 41¹

Step-2: Prime Factorization of 47413

Prime factors of 47413 are 17, 2789. Prime factorization of 47413 in exponential form is:

47413 = 17¹ × 2789¹

Step-3: Factors of 47396

List of positive integer factors of 47396 that divides 47396 without a remainder.

1, 2, 4, 17, 34, 41, 68, 82, 164, 289, 578, 697, 1156, 1394, 2788, 11849, 23698

Step-4: Factors of 47413

List of positive integer factors of 47413 that divides 47396 without a remainder.

1, 17, 2789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47396 and 47413. The biggest common factor number is the GCF number.
So the greatest common factor 47396 and 47413 is 17.

Also check out the Least Common Multiple of 47396 and 47413