What is the Greatest Common Factor of 17136 and 17154?

Greatest common factor (GCF) of 17136 and 17154 is 18.

GCF(17136,17154) = 18

We will now calculate the prime factors of 17136 and 17154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17136 and 17154.

How to find the GCF of 17136 and 17154?

We will first find the prime factorization of 17136 and 17154. After we will calculate the factors of 17136 and 17154 and find the biggest common factor number .

Step-1: Prime Factorization of 17136

Prime factors of 17136 are 2, 3, 7, 17. Prime factorization of 17136 in exponential form is:

17136 = 2⁴ × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 17154

Prime factors of 17154 are 2, 3, 953. Prime factorization of 17154 in exponential form is:

17154 = 2¹ × 3² × 953¹

Step-3: Factors of 17136

List of positive integer factors of 17136 that divides 17136 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 28, 34, 36, 42, 48, 51, 56, 63, 68, 72, 84, 102, 112, 119, 126, 136, 144, 153, 168, 204, 238, 252, 272, 306, 336, 357, 408, 476, 504, 612, 714, 816, 952, 1008, 1071, 1224, 1428, 1904, 2142, 2448, 2856, 4284, 5712, 8568

Step-4: Factors of 17154

List of positive integer factors of 17154 that divides 17136 without a remainder.

1, 2, 3, 6, 9, 18, 953, 1906, 2859, 5718, 8577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17136 and 17154. The biggest common factor number is the GCF number.
So the greatest common factor 17136 and 17154 is 18.

Also check out the Least Common Multiple of 17136 and 17154