What is the Greatest Common Factor of 85105 and 85115?

Greatest common factor (GCF) of 85105 and 85115 is 5.

GCF(85105,85115) = 5

We will now calculate the prime factors of 85105 and 85115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85105 and 85115.

How to find the GCF of 85105 and 85115?

We will first find the prime factorization of 85105 and 85115. After we will calculate the factors of 85105 and 85115 and find the biggest common factor number .

Step-1: Prime Factorization of 85105

Prime factors of 85105 are 5, 17021. Prime factorization of 85105 in exponential form is:

85105 = 5¹ × 17021¹

Step-2: Prime Factorization of 85115

Prime factors of 85115 are 5, 29, 587. Prime factorization of 85115 in exponential form is:

85115 = 5¹ × 29¹ × 587¹

Step-3: Factors of 85105

List of positive integer factors of 85105 that divides 85105 without a remainder.

1, 5, 17021

Step-4: Factors of 85115

List of positive integer factors of 85115 that divides 85105 without a remainder.

1, 5, 29, 145, 587, 2935, 17023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85105 and 85115. The biggest common factor number is the GCF number.
So the greatest common factor 85105 and 85115 is 5.

Also check out the Least Common Multiple of 85105 and 85115