What is the Greatest Common Factor of 28054 and 28064?

Greatest common factor (GCF) of 28054 and 28064 is 2.

GCF(28054,28064) = 2

We will now calculate the prime factors of 28054 and 28064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28054 and 28064.

How to find the GCF of 28054 and 28064?

We will first find the prime factorization of 28054 and 28064. After we will calculate the factors of 28054 and 28064 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 28064

Prime factors of 28064 are 2, 877. Prime factorization of 28064 in exponential form is:

28064 = 2⁵ × 877¹

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 28064

List of positive integer factors of 28064 that divides 28054 without a remainder.

1, 2, 4, 8, 16, 32, 877, 1754, 3508, 7016, 14032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28054 and 28064. The biggest common factor number is the GCF number.
So the greatest common factor 28054 and 28064 is 2.

Also check out the Least Common Multiple of 28054 and 28064