What is the Greatest Common Factor of 17136 and 17153?

Greatest common factor (GCF) of 17136 and 17153 is 17.

GCF(17136,17153) = 17

We will now calculate the prime factors of 17136 and 17153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17136 and 17153.

How to find the GCF of 17136 and 17153?

We will first find the prime factorization of 17136 and 17153. After we will calculate the factors of 17136 and 17153 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 17153

Prime factors of 17153 are 17, 1009. Prime factorization of 17153 in exponential form is:

17153 = 17¹ × 1009¹

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 17153

List of positive integer factors of 17153 that divides 17136 without a remainder.

1, 17, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17136 and 17153. The biggest common factor number is the GCF number.
So the greatest common factor 17136 and 17153 is 17.

Also check out the Least Common Multiple of 17136 and 17153