What is the Greatest Common Factor of 4028 and 4039?

Greatest common factor (GCF) of 4028 and 4039 is 1.

GCF(4028,4039) = 1

We will now calculate the prime factors of 4028 and 4039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4028 and 4039.

How to find the GCF of 4028 and 4039?

We will first find the prime factorization of 4028 and 4039. After we will calculate the factors of 4028 and 4039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4039

Prime factors of 4039 are 7, 577. Prime factorization of 4039 in exponential form is:

4039 = 7¹ × 577¹

Step-3: Factors of 4028

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

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

Step-4: Factors of 4039

List of positive integer factors of 4039 that divides 4028 without a remainder.

1, 7, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4028 and 4039. The biggest common factor number is the GCF number.
So the greatest common factor 4028 and 4039 is 1.

Also check out the Least Common Multiple of 4028 and 4039