What is the Greatest Common Factor of 17052 and 17066?

Greatest common factor (GCF) of 17052 and 17066 is 14.

GCF(17052,17066) = 14

We will now calculate the prime factors of 17052 and 17066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17052 and 17066.

How to find the GCF of 17052 and 17066?

We will first find the prime factorization of 17052 and 17066. After we will calculate the factors of 17052 and 17066 and find the biggest common factor number .

Step-1: Prime Factorization of 17052

Prime factors of 17052 are 2, 3, 7, 29. Prime factorization of 17052 in exponential form is:

17052 = 2² × 3¹ × 7² × 29¹

Step-2: Prime Factorization of 17066

Prime factors of 17066 are 2, 7, 23, 53. Prime factorization of 17066 in exponential form is:

17066 = 2¹ × 7¹ × 23¹ × 53¹

Step-3: Factors of 17052

List of positive integer factors of 17052 that divides 17052 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 49, 58, 84, 87, 98, 116, 147, 174, 196, 203, 294, 348, 406, 588, 609, 812, 1218, 1421, 2436, 2842, 4263, 5684, 8526

Step-4: Factors of 17066

List of positive integer factors of 17066 that divides 17052 without a remainder.

1, 2, 7, 14, 23, 46, 53, 106, 161, 322, 371, 742, 1219, 2438, 8533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17052 and 17066. The biggest common factor number is the GCF number.
So the greatest common factor 17052 and 17066 is 14.

Also check out the Least Common Multiple of 17052 and 17066