What is the Greatest Common Factor of 94003 and 94016?

Greatest common factor (GCF) of 94003 and 94016 is 13.

GCF(94003,94016) = 13

We will now calculate the prime factors of 94003 and 94016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94003 and 94016.

How to find the GCF of 94003 and 94016?

We will first find the prime factorization of 94003 and 94016. After we will calculate the factors of 94003 and 94016 and find the biggest common factor number .

Step-1: Prime Factorization of 94003

Prime factors of 94003 are 7, 13, 1033. Prime factorization of 94003 in exponential form is:

94003 = 7¹ × 13¹ × 1033¹

Step-2: 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-3: Factors of 94003

List of positive integer factors of 94003 that divides 94003 without a remainder.

1, 7, 13, 91, 1033, 7231, 13429

Step-4: Factors of 94016

List of positive integer factors of 94016 that divides 94003 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94003 and 94016. The biggest common factor number is the GCF number.
So the greatest common factor 94003 and 94016 is 13.

Also check out the Least Common Multiple of 94003 and 94016