What is the Greatest Common Factor of 52064 and 52082?

Greatest common factor (GCF) of 52064 and 52082 is 2.

GCF(52064,52082) = 2

We will now calculate the prime factors of 52064 and 52082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52064 and 52082.

How to find the GCF of 52064 and 52082?

We will first find the prime factorization of 52064 and 52082. After we will calculate the factors of 52064 and 52082 and find the biggest common factor number .

Step-1: Prime Factorization of 52064

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

52064 = 2⁵ × 1627¹

Step-2: Prime Factorization of 52082

Prime factors of 52082 are 2, 26041. Prime factorization of 52082 in exponential form is:

52082 = 2¹ × 26041¹

Step-3: Factors of 52064

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

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

Step-4: Factors of 52082

List of positive integer factors of 52082 that divides 52064 without a remainder.

1, 2, 26041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52064 and 52082. The biggest common factor number is the GCF number.
So the greatest common factor 52064 and 52082 is 2.

Also check out the Least Common Multiple of 52064 and 52082