What is the Greatest Common Factor of 67082 and 67099?

Greatest common factor (GCF) of 67082 and 67099 is 17.

GCF(67082,67099) = 17

We will now calculate the prime factors of 67082 and 67099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67082 and 67099.

How to find the GCF of 67082 and 67099?

We will first find the prime factorization of 67082 and 67099. After we will calculate the factors of 67082 and 67099 and find the biggest common factor number .

Step-1: Prime Factorization of 67082

Prime factors of 67082 are 2, 17, 1973. Prime factorization of 67082 in exponential form is:

67082 = 2¹ × 17¹ × 1973¹

Step-2: Prime Factorization of 67099

Prime factors of 67099 are 17, 3947. Prime factorization of 67099 in exponential form is:

67099 = 17¹ × 3947¹

Step-3: Factors of 67082

List of positive integer factors of 67082 that divides 67082 without a remainder.

1, 2, 17, 34, 1973, 3946, 33541

Step-4: Factors of 67099

List of positive integer factors of 67099 that divides 67082 without a remainder.

1, 17, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67082 and 67099. The biggest common factor number is the GCF number.
So the greatest common factor 67082 and 67099 is 17.

Also check out the Least Common Multiple of 67082 and 67099