What is the Greatest Common Factor of 11998 and 12018?

Greatest common factor (GCF) of 11998 and 12018 is 2.

GCF(11998,12018) = 2

We will now calculate the prime factors of 11998 and 12018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11998 and 12018.

How to find the GCF of 11998 and 12018?

We will first find the prime factorization of 11998 and 12018. After we will calculate the factors of 11998 and 12018 and find the biggest common factor number .

Step-1: Prime Factorization of 11998

Prime factors of 11998 are 2, 7, 857. Prime factorization of 11998 in exponential form is:

11998 = 2¹ × 7¹ × 857¹

Step-2: Prime Factorization of 12018

Prime factors of 12018 are 2, 3, 2003. Prime factorization of 12018 in exponential form is:

12018 = 2¹ × 3¹ × 2003¹

Step-3: Factors of 11998

List of positive integer factors of 11998 that divides 11998 without a remainder.

1, 2, 7, 14, 857, 1714, 5999

Step-4: Factors of 12018

List of positive integer factors of 12018 that divides 11998 without a remainder.

1, 2, 3, 6, 2003, 4006, 6009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11998 and 12018. The biggest common factor number is the GCF number.
So the greatest common factor 11998 and 12018 is 2.

Also check out the Least Common Multiple of 11998 and 12018