What is the Greatest Common Factor of 28054 and 28058?

Greatest common factor (GCF) of 28054 and 28058 is 2.

GCF(28054,28058) = 2

We will now calculate the prime factors of 28054 and 28058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28054 and 28058.

How to find the GCF of 28054 and 28058?

We will first find the prime factorization of 28054 and 28058. After we will calculate the factors of 28054 and 28058 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 28058

Prime factors of 28058 are 2, 14029. Prime factorization of 28058 in exponential form is:

28058 = 2¹ × 14029¹

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 28058

List of positive integer factors of 28058 that divides 28054 without a remainder.

1, 2, 14029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28054 and 28058. The biggest common factor number is the GCF number.
So the greatest common factor 28054 and 28058 is 2.

Also check out the Least Common Multiple of 28054 and 28058