What is the Greatest Common Factor of 2028 and 2041?

Greatest common factor (GCF) of 2028 and 2041 is 13.

GCF(2028,2041) = 13

We will now calculate the prime factors of 2028 and 2041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2028 and 2041.

How to find the GCF of 2028 and 2041?

We will first find the prime factorization of 2028 and 2041. After we will calculate the factors of 2028 and 2041 and find the biggest common factor number .

Step-1: Prime Factorization of 2028

Prime factors of 2028 are 2, 3, 13. Prime factorization of 2028 in exponential form is:

2028 = 2² × 3¹ × 13²

Step-2: Prime Factorization of 2041

Prime factors of 2041 are 13, 157. Prime factorization of 2041 in exponential form is:

2041 = 13¹ × 157¹

Step-3: Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014

Step-4: Factors of 2041

List of positive integer factors of 2041 that divides 2028 without a remainder.

1, 13, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2028 and 2041. The biggest common factor number is the GCF number.
So the greatest common factor 2028 and 2041 is 13.

Also check out the Least Common Multiple of 2028 and 2041