What is the Greatest Common Factor of 94016 and 94027?

Greatest common factor (GCF) of 94016 and 94027 is 1.

GCF(94016,94027) = 1

We will now calculate the prime factors of 94016 and 94027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94016 and 94027.

How to find the GCF of 94016 and 94027?

We will first find the prime factorization of 94016 and 94027. After we will calculate the factors of 94016 and 94027 and find the biggest common factor number .

Step-1: Prime Factorization of 94016

Prime factors of 94016 are 2, 13, 113. Prime factorization of 94016 in exponential form is:

94016 = 2⁶ × 13¹ × 113¹

Step-2: Prime Factorization of 94027

Prime factors of 94027 are 17, 5531. Prime factorization of 94027 in exponential form is:

94027 = 17¹ × 5531¹

Step-3: Factors of 94016

List of positive integer factors of 94016 that divides 94016 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 113, 208, 226, 416, 452, 832, 904, 1469, 1808, 2938, 3616, 5876, 7232, 11752, 23504, 47008

Step-4: Factors of 94027

List of positive integer factors of 94027 that divides 94016 without a remainder.

1, 17, 5531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94016 and 94027. The biggest common factor number is the GCF number.
So the greatest common factor 94016 and 94027 is 1.

Also check out the Least Common Multiple of 94016 and 94027