What is the Greatest Common Factor of 52064 and 52077?

Greatest common factor (GCF) of 52064 and 52077 is 1.

GCF(52064,52077) = 1

We will now calculate the prime factors of 52064 and 52077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52064 and 52077.

How to find the GCF of 52064 and 52077?

We will first find the prime factorization of 52064 and 52077. After we will calculate the factors of 52064 and 52077 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 52077

Prime factors of 52077 are 3, 17359. Prime factorization of 52077 in exponential form is:

52077 = 3¹ × 17359¹

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 52077

List of positive integer factors of 52077 that divides 52064 without a remainder.

1, 3, 17359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52064 and 52077. The biggest common factor number is the GCF number.
So the greatest common factor 52064 and 52077 is 1.

Also check out the Least Common Multiple of 52064 and 52077