What is the Greatest Common Factor of 94288 and 94296?

Greatest common factor (GCF) of 94288 and 94296 is 8.

GCF(94288,94296) = 8

We will now calculate the prime factors of 94288 and 94296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94288 and 94296.

How to find the GCF of 94288 and 94296?

We will first find the prime factorization of 94288 and 94296. After we will calculate the factors of 94288 and 94296 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 94296

Prime factors of 94296 are 2, 3, 3929. Prime factorization of 94296 in exponential form is:

94296 = 2³ × 3¹ × 3929¹

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 94296

List of positive integer factors of 94296 that divides 94288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3929, 7858, 11787, 15716, 23574, 31432, 47148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94288 and 94296. The biggest common factor number is the GCF number.
So the greatest common factor 94288 and 94296 is 8.

Also check out the Least Common Multiple of 94288 and 94296