What is the Greatest Common Factor of 17004 and 17009?

Greatest common factor (GCF) of 17004 and 17009 is 1.

GCF(17004,17009) = 1

We will now calculate the prime factors of 17004 and 17009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17004 and 17009.

How to find the GCF of 17004 and 17009?

We will first find the prime factorization of 17004 and 17009. After we will calculate the factors of 17004 and 17009 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 17009

Prime factors of 17009 are 73, 233. Prime factorization of 17009 in exponential form is:

17009 = 73¹ × 233¹

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 17009

List of positive integer factors of 17009 that divides 17004 without a remainder.

1, 73, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17004 and 17009. The biggest common factor number is the GCF number.
So the greatest common factor 17004 and 17009 is 1.

Also check out the Least Common Multiple of 17004 and 17009