What is the Greatest Common Factor of 66069 and 66085?

Greatest common factor (GCF) of 66069 and 66085 is 1.

GCF(66069,66085) = 1

We will now calculate the prime factors of 66069 and 66085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66069 and 66085.

How to find the GCF of 66069 and 66085?

We will first find the prime factorization of 66069 and 66085. After we will calculate the factors of 66069 and 66085 and find the biggest common factor number .

Step-1: Prime Factorization of 66069

Prime factors of 66069 are 3, 2447. Prime factorization of 66069 in exponential form is:

66069 = 3³ × 2447¹

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 66069

List of positive integer factors of 66069 that divides 66069 without a remainder.

1, 3, 9, 27, 2447, 7341, 22023

Step-4: Factors of 66085

List of positive integer factors of 66085 that divides 66069 without a remainder.

1, 5, 13217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66069 and 66085. The biggest common factor number is the GCF number.
So the greatest common factor 66069 and 66085 is 1.

Also check out the Least Common Multiple of 66069 and 66085