What is the Greatest Common Factor of 93987 and 94005?

Greatest common factor (GCF) of 93987 and 94005 is 9.

GCF(93987,94005) = 9

We will now calculate the prime factors of 93987 and 94005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93987 and 94005.

How to find the GCF of 93987 and 94005?

We will first find the prime factorization of 93987 and 94005. After we will calculate the factors of 93987 and 94005 and find the biggest common factor number .

Step-1: Prime Factorization of 93987

Prime factors of 93987 are 3, 59. Prime factorization of 93987 in exponential form is:

93987 = 3³ × 59²

Step-2: Prime Factorization of 94005

Prime factors of 94005 are 3, 5, 2089. Prime factorization of 94005 in exponential form is:

94005 = 3² × 5¹ × 2089¹

Step-3: Factors of 93987

List of positive integer factors of 93987 that divides 93987 without a remainder.

1, 3, 9, 27, 59, 177, 531, 1593, 3481, 10443, 31329

Step-4: Factors of 94005

List of positive integer factors of 94005 that divides 93987 without a remainder.

1, 3, 5, 9, 15, 45, 2089, 6267, 10445, 18801, 31335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93987 and 94005. The biggest common factor number is the GCF number.
So the greatest common factor 93987 and 94005 is 9.

Also check out the Least Common Multiple of 93987 and 94005