What is the Greatest Common Factor of 3990 and 3998?

Greatest common factor (GCF) of 3990 and 3998 is 2.

GCF(3990,3998) = 2

We will now calculate the prime factors of 3990 and 3998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3990 and 3998.

How to find the GCF of 3990 and 3998?

We will first find the prime factorization of 3990 and 3998. After we will calculate the factors of 3990 and 3998 and find the biggest common factor number .

Step-1: Prime Factorization of 3990

Prime factors of 3990 are 2, 3, 5, 7, 19. Prime factorization of 3990 in exponential form is:

3990 = 2¹ × 3¹ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 3998

Prime factors of 3998 are 2, 1999. Prime factorization of 3998 in exponential form is:

3998 = 2¹ × 1999¹

Step-3: Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995

Step-4: Factors of 3998

List of positive integer factors of 3998 that divides 3990 without a remainder.

1, 2, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3990 and 3998. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 3998 is 2.

Also check out the Least Common Multiple of 3990 and 3998