What is the Greatest Common Factor of 91998 and 92017?

Greatest common factor (GCF) of 91998 and 92017 is 19.

GCF(91998,92017) = 19

We will now calculate the prime factors of 91998 and 92017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91998 and 92017.

How to find the GCF of 91998 and 92017?

We will first find the prime factorization of 91998 and 92017. After we will calculate the factors of 91998 and 92017 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92017

Prime factors of 92017 are 19, 29, 167. Prime factorization of 92017 in exponential form is:

92017 = 19¹ × 29¹ × 167¹

Step-3: Factors of 91998

List of positive integer factors of 91998 that divides 91998 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

Step-4: Factors of 92017

List of positive integer factors of 92017 that divides 91998 without a remainder.

1, 19, 29, 167, 551, 3173, 4843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91998 and 92017. The biggest common factor number is the GCF number.
So the greatest common factor 91998 and 92017 is 19.

Also check out the Least Common Multiple of 91998 and 92017