What is the Greatest Common Factor of 85985 and 86005?

Greatest common factor (GCF) of 85985 and 86005 is 5.

GCF(85985,86005) = 5

We will now calculate the prime factors of 85985 and 86005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85985 and 86005.

How to find the GCF of 85985 and 86005?

We will first find the prime factorization of 85985 and 86005. After we will calculate the factors of 85985 and 86005 and find the biggest common factor number .

Step-1: Prime Factorization of 85985

Prime factors of 85985 are 5, 29, 593. Prime factorization of 85985 in exponential form is:

85985 = 5¹ × 29¹ × 593¹

Step-2: Prime Factorization of 86005

Prime factors of 86005 are 5, 103, 167. Prime factorization of 86005 in exponential form is:

86005 = 5¹ × 103¹ × 167¹

Step-3: Factors of 85985

List of positive integer factors of 85985 that divides 85985 without a remainder.

1, 5, 29, 145, 593, 2965, 17197

Step-4: Factors of 86005

List of positive integer factors of 86005 that divides 85985 without a remainder.

1, 5, 103, 167, 515, 835, 17201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85985 and 86005. The biggest common factor number is the GCF number.
So the greatest common factor 85985 and 86005 is 5.

Also check out the Least Common Multiple of 85985 and 86005