What is the Greatest Common Factor of 91989 and 91998?

Greatest common factor (GCF) of 91989 and 91998 is 9.

GCF(91989,91998) = 9

We will now calculate the prime factors of 91989 and 91998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91989 and 91998.

How to find the GCF of 91989 and 91998?

We will first find the prime factorization of 91989 and 91998. After we will calculate the factors of 91989 and 91998 and find the biggest common factor number .

Step-1: Prime Factorization of 91989

Prime factors of 91989 are 3, 3407. Prime factorization of 91989 in exponential form is:

91989 = 3³ × 3407¹

Step-2: Prime Factorization of 91998

Prime factors of 91998 are 2, 3, 19, 269. Prime factorization of 91998 in exponential form is:

91998 = 2¹ × 3² × 19¹ × 269¹

Step-3: Factors of 91989

List of positive integer factors of 91989 that divides 91989 without a remainder.

1, 3, 9, 27, 3407, 10221, 30663

Step-4: Factors of 91998

List of positive integer factors of 91998 that divides 91989 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 269, 342, 538, 807, 1614, 2421, 4842, 5111, 10222, 15333, 30666, 45999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91989 and 91998. The biggest common factor number is the GCF number.
So the greatest common factor 91989 and 91998 is 9.

Also check out the Least Common Multiple of 91989 and 91998