What is the Greatest Common Factor of 17120 and 17136?

Greatest common factor (GCF) of 17120 and 17136 is 16.

GCF(17120,17136) = 16

We will now calculate the prime factors of 17120 and 17136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17120 and 17136.

How to find the GCF of 17120 and 17136?

We will first find the prime factorization of 17120 and 17136. After we will calculate the factors of 17120 and 17136 and find the biggest common factor number .

Step-1: Prime Factorization of 17120

Prime factors of 17120 are 2, 5, 107. Prime factorization of 17120 in exponential form is:

17120 = 2⁵ × 5¹ × 107¹

Step-2: 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-3: Factors of 17120

List of positive integer factors of 17120 that divides 17120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 107, 160, 214, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 8560

Step-4: Factors of 17136

List of positive integer factors of 17136 that divides 17120 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17120 and 17136. The biggest common factor number is the GCF number.
So the greatest common factor 17120 and 17136 is 16.

Also check out the Least Common Multiple of 17120 and 17136