What is the Greatest Common Factor of 66074 and 66085?

Greatest common factor (GCF) of 66074 and 66085 is 1.

GCF(66074,66085) = 1

We will now calculate the prime factors of 66074 and 66085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66074 and 66085.

How to find the GCF of 66074 and 66085?

We will first find the prime factorization of 66074 and 66085. After we will calculate the factors of 66074 and 66085 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 66085

Prime factors of 66085 are 5, 13217. Prime factorization of 66085 in exponential form is:

66085 = 5¹ × 13217¹

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 66085

List of positive integer factors of 66085 that divides 66074 without a remainder.

1, 5, 13217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66074 and 66085. The biggest common factor number is the GCF number.
So the greatest common factor 66074 and 66085 is 1.

Also check out the Least Common Multiple of 66074 and 66085