What is the Greatest Common Factor of 17040 and 17056?

Greatest common factor (GCF) of 17040 and 17056 is 16.

GCF(17040,17056) = 16

We will now calculate the prime factors of 17040 and 17056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17040 and 17056.

How to find the GCF of 17040 and 17056?

We will first find the prime factorization of 17040 and 17056. After we will calculate the factors of 17040 and 17056 and find the biggest common factor number .

Step-1: Prime Factorization of 17040

Prime factors of 17040 are 2, 3, 5, 71. Prime factorization of 17040 in exponential form is:

17040 = 2⁴ × 3¹ × 5¹ × 71¹

Step-2: Prime Factorization of 17056

Prime factors of 17056 are 2, 13, 41. Prime factorization of 17056 in exponential form is:

17056 = 2⁵ × 13¹ × 41¹

Step-3: Factors of 17040

List of positive integer factors of 17040 that divides 17040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 71, 80, 120, 142, 213, 240, 284, 355, 426, 568, 710, 852, 1065, 1136, 1420, 1704, 2130, 2840, 3408, 4260, 5680, 8520

Step-4: Factors of 17056

List of positive integer factors of 17056 that divides 17040 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 41, 52, 82, 104, 164, 208, 328, 416, 533, 656, 1066, 1312, 2132, 4264, 8528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17040 and 17056. The biggest common factor number is the GCF number.
So the greatest common factor 17040 and 17056 is 16.

Also check out the Least Common Multiple of 17040 and 17056