What is the Greatest Common Factor of 91998 and 92018?

Greatest common factor (GCF) of 91998 and 92018 is 2.

GCF(91998,92018) = 2

We will now calculate the prime factors of 91998 and 92018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91998 and 92018.

How to find the GCF of 91998 and 92018?

We will first find the prime factorization of 91998 and 92018. After we will calculate the factors of 91998 and 92018 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 92018

Prime factors of 92018 are 2, 139, 331. Prime factorization of 92018 in exponential form is:

92018 = 2¹ × 139¹ × 331¹

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 92018

List of positive integer factors of 92018 that divides 91998 without a remainder.

1, 2, 139, 278, 331, 662, 46009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91998 and 92018. The biggest common factor number is the GCF number.
So the greatest common factor 91998 and 92018 is 2.

Also check out the Least Common Multiple of 91998 and 92018