What is the Greatest Common Factor of 66074 and 66086?

Greatest common factor (GCF) of 66074 and 66086 is 2.

GCF(66074,66086) = 2

We will now calculate the prime factors of 66074 and 66086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66074 and 66086.

How to find the GCF of 66074 and 66086?

We will first find the prime factorization of 66074 and 66086. After we will calculate the factors of 66074 and 66086 and find the biggest common factor number .

Step-1: Prime Factorization of 66074

Prime factors of 66074 are 2, 33037. Prime factorization of 66074 in exponential form is:

66074 = 2¹ × 33037¹

Step-2: Prime Factorization of 66086

Prime factors of 66086 are 2, 173, 191. Prime factorization of 66086 in exponential form is:

66086 = 2¹ × 173¹ × 191¹

Step-3: Factors of 66074

List of positive integer factors of 66074 that divides 66074 without a remainder.

1, 2, 33037

Step-4: Factors of 66086

List of positive integer factors of 66086 that divides 66074 without a remainder.

1, 2, 173, 191, 346, 382, 33043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66074 and 66086. The biggest common factor number is the GCF number.
So the greatest common factor 66074 and 66086 is 2.

Also check out the Least Common Multiple of 66074 and 66086