What is the Greatest Common Factor of 66784 and 66794?

Greatest common factor (GCF) of 66784 and 66794 is 2.

GCF(66784,66794) = 2

We will now calculate the prime factors of 66784 and 66794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66784 and 66794.

How to find the GCF of 66784 and 66794?

We will first find the prime factorization of 66784 and 66794. After we will calculate the factors of 66784 and 66794 and find the biggest common factor number .

Step-1: Prime Factorization of 66784

Prime factors of 66784 are 2, 2087. Prime factorization of 66784 in exponential form is:

66784 = 2⁵ × 2087¹

Step-2: 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-3: Factors of 66784

List of positive integer factors of 66784 that divides 66784 without a remainder.

1, 2, 4, 8, 16, 32, 2087, 4174, 8348, 16696, 33392

Step-4: Factors of 66794

List of positive integer factors of 66794 that divides 66784 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66784 and 66794. The biggest common factor number is the GCF number.
So the greatest common factor 66784 and 66794 is 2.

Also check out the Least Common Multiple of 66784 and 66794