What is the Greatest Common Factor of 93978 and 93987?

Greatest common factor (GCF) of 93978 and 93987 is 9.

GCF(93978,93987) = 9

We will now calculate the prime factors of 93978 and 93987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93978 and 93987.

How to find the GCF of 93978 and 93987?

We will first find the prime factorization of 93978 and 93987. After we will calculate the factors of 93978 and 93987 and find the biggest common factor number .

Step-1: Prime Factorization of 93978

Prime factors of 93978 are 2, 3, 23, 227. Prime factorization of 93978 in exponential form is:

93978 = 2¹ × 3² × 23¹ × 227¹

Step-2: Prime Factorization of 93987

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

93987 = 3³ × 59²

Step-3: Factors of 93978

List of positive integer factors of 93978 that divides 93978 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 227, 414, 454, 681, 1362, 2043, 4086, 5221, 10442, 15663, 31326, 46989

Step-4: Factors of 93987

List of positive integer factors of 93987 that divides 93978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93978 and 93987. The biggest common factor number is the GCF number.
So the greatest common factor 93978 and 93987 is 9.

Also check out the Least Common Multiple of 93978 and 93987