What is the Greatest Common Factor of 17136 and 17150?

Greatest common factor (GCF) of 17136 and 17150 is 14.

GCF(17136,17150) = 14

We will now calculate the prime factors of 17136 and 17150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17136 and 17150.

How to find the GCF of 17136 and 17150?

We will first find the prime factorization of 17136 and 17150. After we will calculate the factors of 17136 and 17150 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 17150

Prime factors of 17150 are 2, 5, 7. Prime factorization of 17150 in exponential form is:

17150 = 2¹ × 5² × 7³

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 17150

List of positive integer factors of 17150 that divides 17136 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 343, 350, 490, 686, 1225, 1715, 2450, 3430, 8575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17136 and 17150. The biggest common factor number is the GCF number.
So the greatest common factor 17136 and 17150 is 14.

Also check out the Least Common Multiple of 17136 and 17150