What is the Greatest Common Factor of 94783 and 94796?

Greatest common factor (GCF) of 94783 and 94796 is 13.

GCF(94783,94796) = 13

We will now calculate the prime factors of 94783 and 94796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94783 and 94796.

How to find the GCF of 94783 and 94796?

We will first find the prime factorization of 94783 and 94796. After we will calculate the factors of 94783 and 94796 and find the biggest common factor number .

Step-1: Prime Factorization of 94783

Prime factors of 94783 are 13, 23, 317. Prime factorization of 94783 in exponential form is:

94783 = 13¹ × 23¹ × 317¹

Step-2: Prime Factorization of 94796

Prime factors of 94796 are 2, 13, 1823. Prime factorization of 94796 in exponential form is:

94796 = 2² × 13¹ × 1823¹

Step-3: Factors of 94783

List of positive integer factors of 94783 that divides 94783 without a remainder.

1, 13, 23, 299, 317, 4121, 7291

Step-4: Factors of 94796

List of positive integer factors of 94796 that divides 94783 without a remainder.

1, 2, 4, 13, 26, 52, 1823, 3646, 7292, 23699, 47398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94783 and 94796. The biggest common factor number is the GCF number.
So the greatest common factor 94783 and 94796 is 13.

Also check out the Least Common Multiple of 94783 and 94796