What is the Greatest Common Factor of 52048 and 52064?

Greatest common factor (GCF) of 52048 and 52064 is 16.

GCF(52048,52064) = 16

We will now calculate the prime factors of 52048 and 52064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52048 and 52064.

How to find the GCF of 52048 and 52064?

We will first find the prime factorization of 52048 and 52064. After we will calculate the factors of 52048 and 52064 and find the biggest common factor number .

Step-1: Prime Factorization of 52048

Prime factors of 52048 are 2, 3253. Prime factorization of 52048 in exponential form is:

52048 = 2⁴ × 3253¹

Step-2: Prime Factorization of 52064

Prime factors of 52064 are 2, 1627. Prime factorization of 52064 in exponential form is:

52064 = 2⁵ × 1627¹

Step-3: Factors of 52048

List of positive integer factors of 52048 that divides 52048 without a remainder.

1, 2, 4, 8, 16, 3253, 6506, 13012, 26024

Step-4: Factors of 52064

List of positive integer factors of 52064 that divides 52048 without a remainder.

1, 2, 4, 8, 16, 32, 1627, 3254, 6508, 13016, 26032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52048 and 52064. The biggest common factor number is the GCF number.
So the greatest common factor 52048 and 52064 is 16.

Also check out the Least Common Multiple of 52048 and 52064