What is the Greatest Common Factor of 52064 and 52068?

Greatest common factor (GCF) of 52064 and 52068 is 4.

GCF(52064,52068) = 4

We will now calculate the prime factors of 52064 and 52068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52064 and 52068.

How to find the GCF of 52064 and 52068?

We will first find the prime factorization of 52064 and 52068. After we will calculate the factors of 52064 and 52068 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 52068

Prime factors of 52068 are 2, 3, 4339. Prime factorization of 52068 in exponential form is:

52068 = 2² × 3¹ × 4339¹

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 52068

List of positive integer factors of 52068 that divides 52064 without a remainder.

1, 2, 3, 4, 6, 12, 4339, 8678, 13017, 17356, 26034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52064 and 52068. The biggest common factor number is the GCF number.
So the greatest common factor 52064 and 52068 is 4.

Also check out the Least Common Multiple of 52064 and 52068