What is the Greatest Common Factor of 80084 and 80104?

Greatest common factor (GCF) of 80084 and 80104 is 4.

GCF(80084,80104) = 4

We will now calculate the prime factors of 80084 and 80104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80084 and 80104.

How to find the GCF of 80084 and 80104?

We will first find the prime factorization of 80084 and 80104. After we will calculate the factors of 80084 and 80104 and find the biggest common factor number .

Step-1: Prime Factorization of 80084

Prime factors of 80084 are 2, 20021. Prime factorization of 80084 in exponential form is:

80084 = 2² × 20021¹

Step-2: Prime Factorization of 80104

Prime factors of 80104 are 2, 17, 19, 31. Prime factorization of 80104 in exponential form is:

80104 = 2³ × 17¹ × 19¹ × 31¹

Step-3: Factors of 80084

List of positive integer factors of 80084 that divides 80084 without a remainder.

1, 2, 4, 20021, 40042

Step-4: Factors of 80104

List of positive integer factors of 80104 that divides 80084 without a remainder.

1, 2, 4, 8, 17, 19, 31, 34, 38, 62, 68, 76, 124, 136, 152, 248, 323, 527, 589, 646, 1054, 1178, 1292, 2108, 2356, 2584, 4216, 4712, 10013, 20026, 40052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80084 and 80104. The biggest common factor number is the GCF number.
So the greatest common factor 80084 and 80104 is 4.

Also check out the Least Common Multiple of 80084 and 80104