What is the Greatest Common Factor of 80105 and 80115?

Greatest common factor (GCF) of 80105 and 80115 is 5.

GCF(80105,80115) = 5

We will now calculate the prime factors of 80105 and 80115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80105 and 80115.

How to find the GCF of 80105 and 80115?

We will first find the prime factorization of 80105 and 80115. After we will calculate the factors of 80105 and 80115 and find the biggest common factor number .

Step-1: Prime Factorization of 80105

Prime factors of 80105 are 5, 37, 433. Prime factorization of 80105 in exponential form is:

80105 = 5¹ × 37¹ × 433¹

Step-2: Prime Factorization of 80115

Prime factors of 80115 are 3, 5, 7, 109. Prime factorization of 80115 in exponential form is:

80115 = 3¹ × 5¹ × 7² × 109¹

Step-3: Factors of 80105

List of positive integer factors of 80105 that divides 80105 without a remainder.

1, 5, 37, 185, 433, 2165, 16021

Step-4: Factors of 80115

List of positive integer factors of 80115 that divides 80105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 109, 147, 245, 327, 545, 735, 763, 1635, 2289, 3815, 5341, 11445, 16023, 26705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80105 and 80115. The biggest common factor number is the GCF number.
So the greatest common factor 80105 and 80115 is 5.

Also check out the Least Common Multiple of 80105 and 80115