What is the Greatest Common Factor of 2041 and 2054?

Greatest common factor (GCF) of 2041 and 2054 is 13.

GCF(2041,2054) = 13

We will now calculate the prime factors of 2041 and 2054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2041 and 2054.

How to find the GCF of 2041 and 2054?

We will first find the prime factorization of 2041 and 2054. After we will calculate the factors of 2041 and 2054 and find the biggest common factor number .

Step-1: Prime Factorization of 2041

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

2041 = 13¹ × 157¹

Step-2: Prime Factorization of 2054

Prime factors of 2054 are 2, 13, 79. Prime factorization of 2054 in exponential form is:

2054 = 2¹ × 13¹ × 79¹

Step-3: Factors of 2041

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

1, 13, 157

Step-4: Factors of 2054

List of positive integer factors of 2054 that divides 2041 without a remainder.

1, 2, 13, 26, 79, 158, 1027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2041 and 2054. The biggest common factor number is the GCF number.
So the greatest common factor 2041 and 2054 is 13.

Also check out the Least Common Multiple of 2041 and 2054