What is the Greatest Common Factor of 86985 and 86993?

Greatest common factor (GCF) of 86985 and 86993 is 1.

GCF(86985,86993) = 1

We will now calculate the prime factors of 86985 and 86993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86985 and 86993.

How to find the GCF of 86985 and 86993?

We will first find the prime factorization of 86985 and 86993. After we will calculate the factors of 86985 and 86993 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 86993

Prime factors of 86993 are 86993. Prime factorization of 86993 in exponential form is:

86993 = 86993¹

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 86993

List of positive integer factors of 86993 that divides 86985 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86985 and 86993. The biggest common factor number is the GCF number.
So the greatest common factor 86985 and 86993 is 1.

Also check out the Least Common Multiple of 86985 and 86993