What is the Greatest Common Factor of 94256 and 94272?

Greatest common factor (GCF) of 94256 and 94272 is 16.

GCF(94256,94272) = 16

We will now calculate the prime factors of 94256 and 94272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94256 and 94272.

How to find the GCF of 94256 and 94272?

We will first find the prime factorization of 94256 and 94272. After we will calculate the factors of 94256 and 94272 and find the biggest common factor number .

Step-1: Prime Factorization of 94256

Prime factors of 94256 are 2, 43, 137. Prime factorization of 94256 in exponential form is:

94256 = 2⁴ × 43¹ × 137¹

Step-2: 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-3: Factors of 94256

List of positive integer factors of 94256 that divides 94256 without a remainder.

1, 2, 4, 8, 16, 43, 86, 137, 172, 274, 344, 548, 688, 1096, 2192, 5891, 11782, 23564, 47128

Step-4: Factors of 94272

List of positive integer factors of 94272 that divides 94256 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94256 and 94272. The biggest common factor number is the GCF number.
So the greatest common factor 94256 and 94272 is 16.

Also check out the Least Common Multiple of 94256 and 94272