What is the Greatest Common Factor of 67182 and 67198?

Greatest common factor (GCF) of 67182 and 67198 is 2.

GCF(67182,67198) = 2

We will now calculate the prime factors of 67182 and 67198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67182 and 67198.

How to find the GCF of 67182 and 67198?

We will first find the prime factorization of 67182 and 67198. After we will calculate the factors of 67182 and 67198 and find the biggest common factor number .

Step-1: Prime Factorization of 67182

Prime factors of 67182 are 2, 3, 11197. Prime factorization of 67182 in exponential form is:

67182 = 2¹ × 3¹ × 11197¹

Step-2: Prime Factorization of 67198

Prime factors of 67198 are 2, 33599. Prime factorization of 67198 in exponential form is:

67198 = 2¹ × 33599¹

Step-3: Factors of 67182

List of positive integer factors of 67182 that divides 67182 without a remainder.

1, 2, 3, 6, 11197, 22394, 33591

Step-4: Factors of 67198

List of positive integer factors of 67198 that divides 67182 without a remainder.

1, 2, 33599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67182 and 67198. The biggest common factor number is the GCF number.
So the greatest common factor 67182 and 67198 is 2.

Also check out the Least Common Multiple of 67182 and 67198