What is the Greatest Common Factor of 990 and 998?

Greatest common factor (GCF) of 990 and 998 is 2.

GCF(990,998) = 2

We will now calculate the prime factors of 990 and 998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 990 and 998.

How to find the GCF of 990 and 998?

We will first find the prime factorization of 990 and 998. After we will calculate the factors of 990 and 998 and find the biggest common factor number .

Step-1: Prime Factorization of 990

Prime factors of 990 are 2, 3, 5, 11. Prime factorization of 990 in exponential form is:

990 = 2¹ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 998

Prime factors of 998 are 2, 499. Prime factorization of 998 in exponential form is:

998 = 2¹ × 499¹

Step-3: Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495

Step-4: Factors of 998

List of positive integer factors of 998 that divides 990 without a remainder.

1, 2, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 990 and 998. The biggest common factor number is the GCF number.
So the greatest common factor 990 and 998 is 2.

Also check out the Least Common Multiple of 990 and 998