What is the Greatest Common Factor of 66074 and 66089?

Greatest common factor (GCF) of 66074 and 66089 is 1.

GCF(66074,66089) = 1

We will now calculate the prime factors of 66074 and 66089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66074 and 66089.

How to find the GCF of 66074 and 66089?

We will first find the prime factorization of 66074 and 66089. After we will calculate the factors of 66074 and 66089 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 66089

Prime factors of 66089 are 66089. Prime factorization of 66089 in exponential form is:

66089 = 66089¹

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 66089

List of positive integer factors of 66089 that divides 66074 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66074 and 66089. The biggest common factor number is the GCF number.
So the greatest common factor 66074 and 66089 is 1.

Also check out the Least Common Multiple of 66074 and 66089