What is the Greatest Common Factor of 80798 and 80804?

Greatest common factor (GCF) of 80798 and 80804 is 2.

GCF(80798,80804) = 2

We will now calculate the prime factors of 80798 and 80804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80798 and 80804.

How to find the GCF of 80798 and 80804?

We will first find the prime factorization of 80798 and 80804. After we will calculate the factors of 80798 and 80804 and find the biggest common factor number .

Step-1: Prime Factorization of 80798

Prime factors of 80798 are 2, 71, 569. Prime factorization of 80798 in exponential form is:

80798 = 2¹ × 71¹ × 569¹

Step-2: Prime Factorization of 80804

Prime factors of 80804 are 2, 20201. Prime factorization of 80804 in exponential form is:

80804 = 2² × 20201¹

Step-3: Factors of 80798

List of positive integer factors of 80798 that divides 80798 without a remainder.

1, 2, 71, 142, 569, 1138, 40399

Step-4: Factors of 80804

List of positive integer factors of 80804 that divides 80798 without a remainder.

1, 2, 4, 20201, 40402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80798 and 80804. The biggest common factor number is the GCF number.
So the greatest common factor 80798 and 80804 is 2.

Also check out the Least Common Multiple of 80798 and 80804