What is the Greatest Common Factor of 94471 and 94484?

Greatest common factor (GCF) of 94471 and 94484 is 13.

GCF(94471,94484) = 13

We will now calculate the prime factors of 94471 and 94484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94471 and 94484.

How to find the GCF of 94471 and 94484?

We will first find the prime factorization of 94471 and 94484. After we will calculate the factors of 94471 and 94484 and find the biggest common factor number .

Step-1: Prime Factorization of 94471

Prime factors of 94471 are 13, 43. Prime factorization of 94471 in exponential form is:

94471 = 13³ × 43¹

Step-2: Prime Factorization of 94484

Prime factors of 94484 are 2, 13, 23, 79. Prime factorization of 94484 in exponential form is:

94484 = 2² × 13¹ × 23¹ × 79¹

Step-3: Factors of 94471

List of positive integer factors of 94471 that divides 94471 without a remainder.

1, 13, 43, 169, 559, 2197, 7267

Step-4: Factors of 94484

List of positive integer factors of 94484 that divides 94471 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 79, 92, 158, 299, 316, 598, 1027, 1196, 1817, 2054, 3634, 4108, 7268, 23621, 47242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94471 and 94484. The biggest common factor number is the GCF number.
So the greatest common factor 94471 and 94484 is 13.

Also check out the Least Common Multiple of 94471 and 94484