What is the Greatest Common Factor of 17040 and 17057?

Greatest common factor (GCF) of 17040 and 17057 is 1.

GCF(17040,17057) = 1

We will now calculate the prime factors of 17040 and 17057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17040 and 17057.

How to find the GCF of 17040 and 17057?

We will first find the prime factorization of 17040 and 17057. After we will calculate the factors of 17040 and 17057 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 17057

Prime factors of 17057 are 37, 461. Prime factorization of 17057 in exponential form is:

17057 = 37¹ × 461¹

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 17057

List of positive integer factors of 17057 that divides 17040 without a remainder.

1, 37, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17040 and 17057. The biggest common factor number is the GCF number.
So the greatest common factor 17040 and 17057 is 1.

Also check out the Least Common Multiple of 17040 and 17057