What is the Greatest Common Factor of 94003 and 94017?

Greatest common factor (GCF) of 94003 and 94017 is 7.

GCF(94003,94017) = 7

We will now calculate the prime factors of 94003 and 94017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94003 and 94017.

How to find the GCF of 94003 and 94017?

We will first find the prime factorization of 94003 and 94017. After we will calculate the factors of 94003 and 94017 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 94017

Prime factors of 94017 are 3, 7, 11, 37. Prime factorization of 94017 in exponential form is:

94017 = 3¹ × 7¹ × 11² × 37¹

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 94017

List of positive integer factors of 94017 that divides 94003 without a remainder.

1, 3, 7, 11, 21, 33, 37, 77, 111, 121, 231, 259, 363, 407, 777, 847, 1221, 2541, 2849, 4477, 8547, 13431, 31339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94003 and 94017. The biggest common factor number is the GCF number.
So the greatest common factor 94003 and 94017 is 7.

Also check out the Least Common Multiple of 94003 and 94017