What is the Greatest Common Factor of 17016 and 17030?

Greatest common factor (GCF) of 17016 and 17030 is 2.

GCF(17016,17030) = 2

We will now calculate the prime factors of 17016 and 17030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17016 and 17030.

How to find the GCF of 17016 and 17030?

We will first find the prime factorization of 17016 and 17030. After we will calculate the factors of 17016 and 17030 and find the biggest common factor number .

Step-1: Prime Factorization of 17016

Prime factors of 17016 are 2, 3, 709. Prime factorization of 17016 in exponential form is:

17016 = 2³ × 3¹ × 709¹

Step-2: Prime Factorization of 17030

Prime factors of 17030 are 2, 5, 13, 131. Prime factorization of 17030 in exponential form is:

17030 = 2¹ × 5¹ × 13¹ × 131¹

Step-3: Factors of 17016

List of positive integer factors of 17016 that divides 17016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 709, 1418, 2127, 2836, 4254, 5672, 8508

Step-4: Factors of 17030

List of positive integer factors of 17030 that divides 17016 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 131, 262, 655, 1310, 1703, 3406, 8515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17016 and 17030. The biggest common factor number is the GCF number.
So the greatest common factor 17016 and 17030 is 2.

Also check out the Least Common Multiple of 17016 and 17030