What is the Greatest Common Factor of 17069 and 17082?

Greatest common factor (GCF) of 17069 and 17082 is 13.

GCF(17069,17082) = 13

We will now calculate the prime factors of 17069 and 17082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17069 and 17082.

How to find the GCF of 17069 and 17082?

We will first find the prime factorization of 17069 and 17082. After we will calculate the factors of 17069 and 17082 and find the biggest common factor number .

Step-1: Prime Factorization of 17069

Prime factors of 17069 are 13, 101. Prime factorization of 17069 in exponential form is:

17069 = 13² × 101¹

Step-2: Prime Factorization of 17082

Prime factors of 17082 are 2, 3, 13, 73. Prime factorization of 17082 in exponential form is:

17082 = 2¹ × 3² × 13¹ × 73¹

Step-3: Factors of 17069

List of positive integer factors of 17069 that divides 17069 without a remainder.

1, 13, 101, 169, 1313

Step-4: Factors of 17082

List of positive integer factors of 17082 that divides 17069 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 73, 78, 117, 146, 219, 234, 438, 657, 949, 1314, 1898, 2847, 5694, 8541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17069 and 17082. The biggest common factor number is the GCF number.
So the greatest common factor 17069 and 17082 is 13.

Also check out the Least Common Multiple of 17069 and 17082