What is the Greatest Common Factor of 17028 and 17032?

Greatest common factor (GCF) of 17028 and 17032 is 4.

GCF(17028,17032) = 4

We will now calculate the prime factors of 17028 and 17032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17028 and 17032.

How to find the GCF of 17028 and 17032?

We will first find the prime factorization of 17028 and 17032. After we will calculate the factors of 17028 and 17032 and find the biggest common factor number .

Step-1: Prime Factorization of 17028

Prime factors of 17028 are 2, 3, 11, 43. Prime factorization of 17028 in exponential form is:

17028 = 2² × 3² × 11¹ × 43¹

Step-2: Prime Factorization of 17032

Prime factors of 17032 are 2, 2129. Prime factorization of 17032 in exponential form is:

17032 = 2³ × 2129¹

Step-3: Factors of 17028

List of positive integer factors of 17028 that divides 17028 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 43, 44, 66, 86, 99, 129, 132, 172, 198, 258, 387, 396, 473, 516, 774, 946, 1419, 1548, 1892, 2838, 4257, 5676, 8514

Step-4: Factors of 17032

List of positive integer factors of 17032 that divides 17028 without a remainder.

1, 2, 4, 8, 2129, 4258, 8516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17028 and 17032. The biggest common factor number is the GCF number.
So the greatest common factor 17028 and 17032 is 4.

Also check out the Least Common Multiple of 17028 and 17032