What is the Greatest Common Factor of 28064 and 28078?

Greatest common factor (GCF) of 28064 and 28078 is 2.

GCF(28064,28078) = 2

We will now calculate the prime factors of 28064 and 28078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28064 and 28078.

How to find the GCF of 28064 and 28078?

We will first find the prime factorization of 28064 and 28078. After we will calculate the factors of 28064 and 28078 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 28078

Prime factors of 28078 are 2, 101, 139. Prime factorization of 28078 in exponential form is:

28078 = 2¹ × 101¹ × 139¹

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 28078

List of positive integer factors of 28078 that divides 28064 without a remainder.

1, 2, 101, 139, 202, 278, 14039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28064 and 28078. The biggest common factor number is the GCF number.
So the greatest common factor 28064 and 28078 is 2.

Also check out the Least Common Multiple of 28064 and 28078