What is the Greatest Common Factor of 94129 and 94146?

Greatest common factor (GCF) of 94129 and 94146 is 17.

GCF(94129,94146) = 17

We will now calculate the prime factors of 94129 and 94146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94129 and 94146.

How to find the GCF of 94129 and 94146?

We will first find the prime factorization of 94129 and 94146. After we will calculate the factors of 94129 and 94146 and find the biggest common factor number .

Step-1: Prime Factorization of 94129

Prime factors of 94129 are 7, 17, 113. Prime factorization of 94129 in exponential form is:

94129 = 7² × 17¹ × 113¹

Step-2: 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-3: Factors of 94129

List of positive integer factors of 94129 that divides 94129 without a remainder.

1, 7, 17, 49, 113, 119, 791, 833, 1921, 5537, 13447

Step-4: Factors of 94146

List of positive integer factors of 94146 that divides 94129 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94129 and 94146. The biggest common factor number is the GCF number.
So the greatest common factor 94129 and 94146 is 17.

Also check out the Least Common Multiple of 94129 and 94146