What is the Greatest Common Factor of 94288 and 94302?

Greatest common factor (GCF) of 94288 and 94302 is 2.

GCF(94288,94302) = 2

We will now calculate the prime factors of 94288 and 94302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94288 and 94302.

How to find the GCF of 94288 and 94302?

We will first find the prime factorization of 94288 and 94302. After we will calculate the factors of 94288 and 94302 and find the biggest common factor number .

Step-1: Prime Factorization of 94288

Prime factors of 94288 are 2, 71, 83. Prime factorization of 94288 in exponential form is:

94288 = 2⁴ × 71¹ × 83¹

Step-2: Prime Factorization of 94302

Prime factors of 94302 are 2, 3, 13, 31. Prime factorization of 94302 in exponential form is:

94302 = 2¹ × 3² × 13² × 31¹

Step-3: Factors of 94288

List of positive integer factors of 94288 that divides 94288 without a remainder.

1, 2, 4, 8, 16, 71, 83, 142, 166, 284, 332, 568, 664, 1136, 1328, 5893, 11786, 23572, 47144

Step-4: Factors of 94302

List of positive integer factors of 94302 that divides 94288 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 169, 186, 234, 279, 338, 403, 507, 558, 806, 1014, 1209, 1521, 2418, 3042, 3627, 5239, 7254, 10478, 15717, 31434, 47151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94288 and 94302. The biggest common factor number is the GCF number.
So the greatest common factor 94288 and 94302 is 2.

Also check out the Least Common Multiple of 94288 and 94302