What is the Greatest Common Factor of 94272 and 94288?

Greatest common factor (GCF) of 94272 and 94288 is 16.

GCF(94272,94288) = 16

We will now calculate the prime factors of 94272 and 94288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94272 and 94288.

How to find the GCF of 94272 and 94288?

We will first find the prime factorization of 94272 and 94288. After we will calculate the factors of 94272 and 94288 and find the biggest common factor number .

Step-1: Prime Factorization of 94272

Prime factors of 94272 are 2, 3, 491. Prime factorization of 94272 in exponential form is:

94272 = 2⁶ × 3¹ × 491¹

Step-2: 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-3: Factors of 94272

List of positive integer factors of 94272 that divides 94272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568, 31424, 47136

Step-4: Factors of 94288

List of positive integer factors of 94288 that divides 94272 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94272 and 94288. The biggest common factor number is the GCF number.
So the greatest common factor 94272 and 94288 is 16.

Also check out the Least Common Multiple of 94272 and 94288