What is the Greatest Common Factor of 4009 and 4028?

Greatest common factor (GCF) of 4009 and 4028 is 19.

GCF(4009,4028) = 19

We will now calculate the prime factors of 4009 and 4028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4009 and 4028.

How to find the GCF of 4009 and 4028?

We will first find the prime factorization of 4009 and 4028. After we will calculate the factors of 4009 and 4028 and find the biggest common factor number .

Step-1: Prime Factorization of 4009

Prime factors of 4009 are 19, 211. Prime factorization of 4009 in exponential form is:

4009 = 19¹ × 211¹

Step-2: Prime Factorization of 4028

Prime factors of 4028 are 2, 19, 53. Prime factorization of 4028 in exponential form is:

4028 = 2² × 19¹ × 53¹

Step-3: Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1, 19, 211

Step-4: Factors of 4028

List of positive integer factors of 4028 that divides 4009 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4009 and 4028. The biggest common factor number is the GCF number.
So the greatest common factor 4009 and 4028 is 19.

Also check out the Least Common Multiple of 4009 and 4028