What is the Greatest Common Factor of 17004 and 17010?

Greatest common factor (GCF) of 17004 and 17010 is 6.

GCF(17004,17010) = 6

We will now calculate the prime factors of 17004 and 17010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17004 and 17010.

How to find the GCF of 17004 and 17010?

We will first find the prime factorization of 17004 and 17010. After we will calculate the factors of 17004 and 17010 and find the biggest common factor number .

Step-1: Prime Factorization of 17004

Prime factors of 17004 are 2, 3, 13, 109. Prime factorization of 17004 in exponential form is:

17004 = 2² × 3¹ × 13¹ × 109¹

Step-2: Prime Factorization of 17010

Prime factors of 17010 are 2, 3, 5, 7. Prime factorization of 17010 in exponential form is:

17010 = 2¹ × 3⁵ × 5¹ × 7¹

Step-3: Factors of 17004

List of positive integer factors of 17004 that divides 17004 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 109, 156, 218, 327, 436, 654, 1308, 1417, 2834, 4251, 5668, 8502

Step-4: Factors of 17010

List of positive integer factors of 17010 that divides 17004 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 243, 270, 315, 378, 405, 486, 567, 630, 810, 945, 1134, 1215, 1701, 1890, 2430, 2835, 3402, 5670, 8505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17004 and 17010. The biggest common factor number is the GCF number.
So the greatest common factor 17004 and 17010 is 6.

Also check out the Least Common Multiple of 17004 and 17010