What is the Greatest Common Factor of 17040 and 17049?

Greatest common factor (GCF) of 17040 and 17049 is 3.

GCF(17040,17049) = 3

We will now calculate the prime factors of 17040 and 17049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17040 and 17049.

How to find the GCF of 17040 and 17049?

We will first find the prime factorization of 17040 and 17049. After we will calculate the factors of 17040 and 17049 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 17049

Prime factors of 17049 are 3, 5683. Prime factorization of 17049 in exponential form is:

17049 = 3¹ × 5683¹

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 17049

List of positive integer factors of 17049 that divides 17040 without a remainder.

1, 3, 5683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17040 and 17049. The biggest common factor number is the GCF number.
So the greatest common factor 17040 and 17049 is 3.

Also check out the Least Common Multiple of 17040 and 17049