What is the Greatest Common Factor of 52064 and 52084?

Greatest common factor (GCF) of 52064 and 52084 is 4.

GCF(52064,52084) = 4

We will now calculate the prime factors of 52064 and 52084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52064 and 52084.

How to find the GCF of 52064 and 52084?

We will first find the prime factorization of 52064 and 52084. After we will calculate the factors of 52064 and 52084 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 52084

Prime factors of 52084 are 2, 29, 449. Prime factorization of 52084 in exponential form is:

52084 = 2² × 29¹ × 449¹

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 52084

List of positive integer factors of 52084 that divides 52064 without a remainder.

1, 2, 4, 29, 58, 116, 449, 898, 1796, 13021, 26042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52064 and 52084. The biggest common factor number is the GCF number.
So the greatest common factor 52064 and 52084 is 4.

Also check out the Least Common Multiple of 52064 and 52084