What is the Greatest Common Factor of 66794 and 66809?

Greatest common factor (GCF) of 66794 and 66809 is 1.

GCF(66794,66809) = 1

We will now calculate the prime factors of 66794 and 66809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66794 and 66809.

How to find the GCF of 66794 and 66809?

We will first find the prime factorization of 66794 and 66809. After we will calculate the factors of 66794 and 66809 and find the biggest common factor number .

Step-1: Prime Factorization of 66794

Prime factors of 66794 are 2, 7, 13, 367. Prime factorization of 66794 in exponential form is:

66794 = 2¹ × 7¹ × 13¹ × 367¹

Step-2: Prime Factorization of 66809

Prime factors of 66809 are 66809. Prime factorization of 66809 in exponential form is:

66809 = 66809¹

Step-3: Factors of 66794

List of positive integer factors of 66794 that divides 66794 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 367, 734, 2569, 4771, 5138, 9542, 33397

Step-4: Factors of 66809

List of positive integer factors of 66809 that divides 66794 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66794 and 66809. The biggest common factor number is the GCF number.
So the greatest common factor 66794 and 66809 is 1.

Also check out the Least Common Multiple of 66794 and 66809