What is the Greatest Common Factor of 52064 and 52070?

Greatest common factor (GCF) of 52064 and 52070 is 2.

GCF(52064,52070) = 2

We will now calculate the prime factors of 52064 and 52070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52064 and 52070.

How to find the GCF of 52064 and 52070?

We will first find the prime factorization of 52064 and 52070. After we will calculate the factors of 52064 and 52070 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 52070

Prime factors of 52070 are 2, 5, 41, 127. Prime factorization of 52070 in exponential form is:

52070 = 2¹ × 5¹ × 41¹ × 127¹

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 52070

List of positive integer factors of 52070 that divides 52064 without a remainder.

1, 2, 5, 10, 41, 82, 127, 205, 254, 410, 635, 1270, 5207, 10414, 26035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52064 and 52070. The biggest common factor number is the GCF number.
So the greatest common factor 52064 and 52070 is 2.

Also check out the Least Common Multiple of 52064 and 52070