What is the Greatest Common Factor of 80794 and 80810?

Greatest common factor (GCF) of 80794 and 80810 is 2.

GCF(80794,80810) = 2

We will now calculate the prime factors of 80794 and 80810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80794 and 80810.

How to find the GCF of 80794 and 80810?

We will first find the prime factorization of 80794 and 80810. After we will calculate the factors of 80794 and 80810 and find the biggest common factor number .

Step-1: Prime Factorization of 80794

Prime factors of 80794 are 2, 7, 29, 199. Prime factorization of 80794 in exponential form is:

80794 = 2¹ × 7¹ × 29¹ × 199¹

Step-2: Prime Factorization of 80810

Prime factors of 80810 are 2, 5, 8081. Prime factorization of 80810 in exponential form is:

80810 = 2¹ × 5¹ × 8081¹

Step-3: Factors of 80794

List of positive integer factors of 80794 that divides 80794 without a remainder.

1, 2, 7, 14, 29, 58, 199, 203, 398, 406, 1393, 2786, 5771, 11542, 40397

Step-4: Factors of 80810

List of positive integer factors of 80810 that divides 80794 without a remainder.

1, 2, 5, 10, 8081, 16162, 40405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80794 and 80810. The biggest common factor number is the GCF number.
So the greatest common factor 80794 and 80810 is 2.

Also check out the Least Common Multiple of 80794 and 80810