What is the Greatest Common Factor of 28054 and 28073?

Greatest common factor (GCF) of 28054 and 28073 is 1.

GCF(28054,28073) = 1

We will now calculate the prime factors of 28054 and 28073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28054 and 28073.

How to find the GCF of 28054 and 28073?

We will first find the prime factorization of 28054 and 28073. After we will calculate the factors of 28054 and 28073 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28073

Prime factors of 28073 are 67, 419. Prime factorization of 28073 in exponential form is:

28073 = 67¹ × 419¹

Step-3: Factors of 28054

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

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

Step-4: Factors of 28073

List of positive integer factors of 28073 that divides 28054 without a remainder.

1, 67, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28054 and 28073. The biggest common factor number is the GCF number.
So the greatest common factor 28054 and 28073 is 1.

Also check out the Least Common Multiple of 28054 and 28073