What is the Greatest Common Factor of 17019 and 17034?

Greatest common factor (GCF) of 17019 and 17034 is 3.

GCF(17019,17034) = 3

We will now calculate the prime factors of 17019 and 17034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17019 and 17034.

How to find the GCF of 17019 and 17034?

We will first find the prime factorization of 17019 and 17034. After we will calculate the factors of 17019 and 17034 and find the biggest common factor number .

Step-1: Prime Factorization of 17019

Prime factors of 17019 are 3, 31, 61. Prime factorization of 17019 in exponential form is:

17019 = 3² × 31¹ × 61¹

Step-2: Prime Factorization of 17034

Prime factors of 17034 are 2, 3, 17, 167. Prime factorization of 17034 in exponential form is:

17034 = 2¹ × 3¹ × 17¹ × 167¹

Step-3: Factors of 17019

List of positive integer factors of 17019 that divides 17019 without a remainder.

1, 3, 9, 31, 61, 93, 183, 279, 549, 1891, 5673

Step-4: Factors of 17034

List of positive integer factors of 17034 that divides 17019 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 167, 334, 501, 1002, 2839, 5678, 8517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17019 and 17034. The biggest common factor number is the GCF number.
So the greatest common factor 17019 and 17034 is 3.

Also check out the Least Common Multiple of 17019 and 17034