What is the Greatest Common Factor of 28064 and 28081?

Greatest common factor (GCF) of 28064 and 28081 is 1.

GCF(28064,28081) = 1

We will now calculate the prime factors of 28064 and 28081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28064 and 28081.

How to find the GCF of 28064 and 28081?

We will first find the prime factorization of 28064 and 28081. After we will calculate the factors of 28064 and 28081 and find the biggest common factor number .

Step-1: Prime Factorization of 28064

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

28064 = 2⁵ × 877¹

Step-2: Prime Factorization of 28081

Prime factors of 28081 are 28081. Prime factorization of 28081 in exponential form is:

28081 = 28081¹

Step-3: Factors of 28064

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

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

Step-4: Factors of 28081

List of positive integer factors of 28081 that divides 28064 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28064 and 28081. The biggest common factor number is the GCF number.
So the greatest common factor 28064 and 28081 is 1.

Also check out the Least Common Multiple of 28064 and 28081