What is the Greatest Common Factor of 67174 and 67182?

Greatest common factor (GCF) of 67174 and 67182 is 2.

GCF(67174,67182) = 2

We will now calculate the prime factors of 67174 and 67182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67174 and 67182.

How to find the GCF of 67174 and 67182?

We will first find the prime factorization of 67174 and 67182. After we will calculate the factors of 67174 and 67182 and find the biggest common factor number .

Step-1: Prime Factorization of 67174

Prime factors of 67174 are 2, 33587. Prime factorization of 67174 in exponential form is:

67174 = 2¹ × 33587¹

Step-2: 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-3: Factors of 67174

List of positive integer factors of 67174 that divides 67174 without a remainder.

1, 2, 33587

Step-4: Factors of 67182

List of positive integer factors of 67182 that divides 67174 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67174 and 67182. The biggest common factor number is the GCF number.
So the greatest common factor 67174 and 67182 is 2.

Also check out the Least Common Multiple of 67174 and 67182