What is the Greatest Common Factor of 94016 and 94022?

Greatest common factor (GCF) of 94016 and 94022 is 2.

GCF(94016,94022) = 2

We will now calculate the prime factors of 94016 and 94022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94016 and 94022.

How to find the GCF of 94016 and 94022?

We will first find the prime factorization of 94016 and 94022. After we will calculate the factors of 94016 and 94022 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 94022

Prime factors of 94022 are 2, 53, 887. Prime factorization of 94022 in exponential form is:

94022 = 2¹ × 53¹ × 887¹

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 94022

List of positive integer factors of 94022 that divides 94016 without a remainder.

1, 2, 53, 106, 887, 1774, 47011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94016 and 94022. The biggest common factor number is the GCF number.
So the greatest common factor 94016 and 94022 is 2.

Also check out the Least Common Multiple of 94016 and 94022