What is the Greatest Common Factor of 3990 and 4004?

Greatest common factor (GCF) of 3990 and 4004 is 14.

GCF(3990,4004) = 14

We will now calculate the prime factors of 3990 and 4004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3990 and 4004.

How to find the GCF of 3990 and 4004?

We will first find the prime factorization of 3990 and 4004. After we will calculate the factors of 3990 and 4004 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 4004

Prime factors of 4004 are 2, 7, 11, 13. Prime factorization of 4004 in exponential form is:

4004 = 2² × 7¹ × 11¹ × 13¹

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 4004

List of positive integer factors of 4004 that divides 3990 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3990 and 4004. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 4004 is 14.

Also check out the Least Common Multiple of 3990 and 4004