What is the Greatest Common Factor of 17034 and 17043?

Greatest common factor (GCF) of 17034 and 17043 is 3.

GCF(17034,17043) = 3

We will now calculate the prime factors of 17034 and 17043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17034 and 17043.

How to find the GCF of 17034 and 17043?

We will first find the prime factorization of 17034 and 17043. After we will calculate the factors of 17034 and 17043 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17043

Prime factors of 17043 are 3, 13, 19, 23. Prime factorization of 17043 in exponential form is:

17043 = 3¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 17034

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

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

Step-4: Factors of 17043

List of positive integer factors of 17043 that divides 17034 without a remainder.

1, 3, 13, 19, 23, 39, 57, 69, 247, 299, 437, 741, 897, 1311, 5681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17034 and 17043. The biggest common factor number is the GCF number.
So the greatest common factor 17034 and 17043 is 3.

Also check out the Least Common Multiple of 17034 and 17043