What is the Greatest Common Factor of 28054 and 28067?

Greatest common factor (GCF) of 28054 and 28067 is 13.

GCF(28054,28067) = 13

We will now calculate the prime factors of 28054 and 28067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28054 and 28067.

How to find the GCF of 28054 and 28067?

We will first find the prime factorization of 28054 and 28067. After we will calculate the factors of 28054 and 28067 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 28067

Prime factors of 28067 are 13, 17, 127. Prime factorization of 28067 in exponential form is:

28067 = 13¹ × 17¹ × 127¹

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 28067

List of positive integer factors of 28067 that divides 28054 without a remainder.

1, 13, 17, 127, 221, 1651, 2159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28054 and 28067. The biggest common factor number is the GCF number.
So the greatest common factor 28054 and 28067 is 13.

Also check out the Least Common Multiple of 28054 and 28067