What is the Greatest Common Factor of 85885 and 85905?

Greatest common factor (GCF) of 85885 and 85905 is 5.

GCF(85885,85905) = 5

We will now calculate the prime factors of 85885 and 85905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85885 and 85905.

How to find the GCF of 85885 and 85905?

We will first find the prime factorization of 85885 and 85905. After we will calculate the factors of 85885 and 85905 and find the biggest common factor number .

Step-1: Prime Factorization of 85885

Prime factors of 85885 are 5, 89, 193. Prime factorization of 85885 in exponential form is:

85885 = 5¹ × 89¹ × 193¹

Step-2: Prime Factorization of 85905

Prime factors of 85905 are 3, 5, 23, 83. Prime factorization of 85905 in exponential form is:

85905 = 3² × 5¹ × 23¹ × 83¹

Step-3: Factors of 85885

List of positive integer factors of 85885 that divides 85885 without a remainder.

1, 5, 89, 193, 445, 965, 17177

Step-4: Factors of 85905

List of positive integer factors of 85905 that divides 85885 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 83, 115, 207, 249, 345, 415, 747, 1035, 1245, 1909, 3735, 5727, 9545, 17181, 28635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85885 and 85905. The biggest common factor number is the GCF number.
So the greatest common factor 85885 and 85905 is 5.

Also check out the Least Common Multiple of 85885 and 85905