What is the Greatest Common Factor of 85887 and 85905?

Greatest common factor (GCF) of 85887 and 85905 is 9.

GCF(85887,85905) = 9

We will now calculate the prime factors of 85887 and 85905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85887 and 85905.

How to find the GCF of 85887 and 85905?

We will first find the prime factorization of 85887 and 85905. After we will calculate the factors of 85887 and 85905 and find the biggest common factor number .

Step-1: Prime Factorization of 85887

Prime factors of 85887 are 3, 3181. Prime factorization of 85887 in exponential form is:

85887 = 3³ × 3181¹

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 85887

List of positive integer factors of 85887 that divides 85887 without a remainder.

1, 3, 9, 27, 3181, 9543, 28629

Step-4: Factors of 85905

List of positive integer factors of 85905 that divides 85887 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 85887 and 85905. The biggest common factor number is the GCF number.
So the greatest common factor 85887 and 85905 is 9.

Also check out the Least Common Multiple of 85887 and 85905