What is the Greatest Common Factor of 94146 and 94163?

Greatest common factor (GCF) of 94146 and 94163 is 17.

GCF(94146,94163) = 17

We will now calculate the prime factors of 94146 and 94163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94146 and 94163.

How to find the GCF of 94146 and 94163?

We will first find the prime factorization of 94146 and 94163. After we will calculate the factors of 94146 and 94163 and find the biggest common factor number .

Step-1: Prime Factorization of 94146

Prime factors of 94146 are 2, 3, 13, 17, 71. Prime factorization of 94146 in exponential form is:

94146 = 2¹ × 3¹ × 13¹ × 17¹ × 71¹

Step-2: Prime Factorization of 94163

Prime factors of 94163 are 17, 29, 191. Prime factorization of 94163 in exponential form is:

94163 = 17¹ × 29¹ × 191¹

Step-3: Factors of 94146

List of positive integer factors of 94146 that divides 94146 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 71, 78, 102, 142, 213, 221, 426, 442, 663, 923, 1207, 1326, 1846, 2414, 2769, 3621, 5538, 7242, 15691, 31382, 47073

Step-4: Factors of 94163

List of positive integer factors of 94163 that divides 94146 without a remainder.

1, 17, 29, 191, 493, 3247, 5539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94146 and 94163. The biggest common factor number is the GCF number.
So the greatest common factor 94146 and 94163 is 17.

Also check out the Least Common Multiple of 94146 and 94163