What is the Greatest Common Factor of 85908 and 85917?

Greatest common factor (GCF) of 85908 and 85917 is 3.

GCF(85908,85917) = 3

We will now calculate the prime factors of 85908 and 85917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85908 and 85917.

How to find the GCF of 85908 and 85917?

We will first find the prime factorization of 85908 and 85917. After we will calculate the factors of 85908 and 85917 and find the biggest common factor number .

Step-1: Prime Factorization of 85908

Prime factors of 85908 are 2, 3, 7159. Prime factorization of 85908 in exponential form is:

85908 = 2² × 3¹ × 7159¹

Step-2: Prime Factorization of 85917

Prime factors of 85917 are 3, 13, 2203. Prime factorization of 85917 in exponential form is:

85917 = 3¹ × 13¹ × 2203¹

Step-3: Factors of 85908

List of positive integer factors of 85908 that divides 85908 without a remainder.

1, 2, 3, 4, 6, 12, 7159, 14318, 21477, 28636, 42954

Step-4: Factors of 85917

List of positive integer factors of 85917 that divides 85908 without a remainder.

1, 3, 13, 39, 2203, 6609, 28639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85908 and 85917. The biggest common factor number is the GCF number.
So the greatest common factor 85908 and 85917 is 3.

Also check out the Least Common Multiple of 85908 and 85917