What is the Greatest Common Factor of 4004 and 4022?

Greatest common factor (GCF) of 4004 and 4022 is 2.

GCF(4004,4022) = 2

We will now calculate the prime factors of 4004 and 4022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4004 and 4022.

How to find the GCF of 4004 and 4022?

We will first find the prime factorization of 4004 and 4022. After we will calculate the factors of 4004 and 4022 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4022

Prime factors of 4022 are 2, 2011. Prime factorization of 4022 in exponential form is:

4022 = 2¹ × 2011¹

Step-3: Factors of 4004

List of positive integer factors of 4004 that divides 4004 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

Step-4: Factors of 4022

List of positive integer factors of 4022 that divides 4004 without a remainder.

1, 2, 2011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4004 and 4022. The biggest common factor number is the GCF number.
So the greatest common factor 4004 and 4022 is 2.

Also check out the Least Common Multiple of 4004 and 4022