What is the Greatest Common Factor of 20027 and 20041?

Greatest common factor (GCF) of 20027 and 20041 is 7.

GCF(20027,20041) = 7

We will now calculate the prime factors of 20027 and 20041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20027 and 20041.

How to find the GCF of 20027 and 20041?

We will first find the prime factorization of 20027 and 20041. After we will calculate the factors of 20027 and 20041 and find the biggest common factor number .

Step-1: Prime Factorization of 20027

Prime factors of 20027 are 7, 2861. Prime factorization of 20027 in exponential form is:

20027 = 7¹ × 2861¹

Step-2: Prime Factorization of 20041

Prime factors of 20041 are 7, 409. Prime factorization of 20041 in exponential form is:

20041 = 7² × 409¹

Step-3: Factors of 20027

List of positive integer factors of 20027 that divides 20027 without a remainder.

1, 7, 2861

Step-4: Factors of 20041

List of positive integer factors of 20041 that divides 20027 without a remainder.

1, 7, 49, 409, 2863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20027 and 20041. The biggest common factor number is the GCF number.
So the greatest common factor 20027 and 20041 is 7.

Also check out the Least Common Multiple of 20027 and 20041