What is the Greatest Common Factor of 28041 and 28054?

Greatest common factor (GCF) of 28041 and 28054 is 13.

GCF(28041,28054) = 13

We will now calculate the prime factors of 28041 and 28054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28041 and 28054.

How to find the GCF of 28041 and 28054?

We will first find the prime factorization of 28041 and 28054. After we will calculate the factors of 28041 and 28054 and find the biggest common factor number .

Step-1: Prime Factorization of 28041

Prime factors of 28041 are 3, 13, 719. Prime factorization of 28041 in exponential form is:

28041 = 3¹ × 13¹ × 719¹

Step-2: Prime Factorization of 28054

Prime factors of 28054 are 2, 13, 83. Prime factorization of 28054 in exponential form is:

28054 = 2¹ × 13² × 83¹

Step-3: Factors of 28041

List of positive integer factors of 28041 that divides 28041 without a remainder.

1, 3, 13, 39, 719, 2157, 9347

Step-4: Factors of 28054

List of positive integer factors of 28054 that divides 28041 without a remainder.

1, 2, 13, 26, 83, 166, 169, 338, 1079, 2158, 14027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28041 and 28054. The biggest common factor number is the GCF number.
So the greatest common factor 28041 and 28054 is 13.

Also check out the Least Common Multiple of 28041 and 28054