What is the Greatest Common Factor of 86985 and 87005?

Greatest common factor (GCF) of 86985 and 87005 is 5.

GCF(86985,87005) = 5

We will now calculate the prime factors of 86985 and 87005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86985 and 87005.

How to find the GCF of 86985 and 87005?

We will first find the prime factorization of 86985 and 87005. After we will calculate the factors of 86985 and 87005 and find the biggest common factor number .

Step-1: Prime Factorization of 86985

Prime factors of 86985 are 3, 5, 1933. Prime factorization of 86985 in exponential form is:

86985 = 3² × 5¹ × 1933¹

Step-2: Prime Factorization of 87005

Prime factors of 87005 are 5, 17401. Prime factorization of 87005 in exponential form is:

87005 = 5¹ × 17401¹

Step-3: Factors of 86985

List of positive integer factors of 86985 that divides 86985 without a remainder.

1, 3, 5, 9, 15, 45, 1933, 5799, 9665, 17397, 28995

Step-4: Factors of 87005

List of positive integer factors of 87005 that divides 86985 without a remainder.

1, 5, 17401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86985 and 87005. The biggest common factor number is the GCF number.
So the greatest common factor 86985 and 87005 is 5.

Also check out the Least Common Multiple of 86985 and 87005