What is the Greatest Common Factor of 17052 and 17067?

Greatest common factor (GCF) of 17052 and 17067 is 3.

GCF(17052,17067) = 3

We will now calculate the prime factors of 17052 and 17067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17052 and 17067.

How to find the GCF of 17052 and 17067?

We will first find the prime factorization of 17052 and 17067. After we will calculate the factors of 17052 and 17067 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 17067

Prime factors of 17067 are 3, 5689. Prime factorization of 17067 in exponential form is:

17067 = 3¹ × 5689¹

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 17067

List of positive integer factors of 17067 that divides 17052 without a remainder.

1, 3, 5689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17052 and 17067. The biggest common factor number is the GCF number.
So the greatest common factor 17052 and 17067 is 3.

Also check out the Least Common Multiple of 17052 and 17067