What is the Greatest Common Factor of 4064 and 4072?

Greatest common factor (GCF) of 4064 and 4072 is 8.

GCF(4064,4072) = 8

We will now calculate the prime factors of 4064 and 4072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4064 and 4072.

How to find the GCF of 4064 and 4072?

We will first find the prime factorization of 4064 and 4072. After we will calculate the factors of 4064 and 4072 and find the biggest common factor number .

Step-1: Prime Factorization of 4064

Prime factors of 4064 are 2, 127. Prime factorization of 4064 in exponential form is:

4064 = 2⁵ × 127¹

Step-2: Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 2³ × 509¹

Step-3: Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032

Step-4: Factors of 4072

List of positive integer factors of 4072 that divides 4064 without a remainder.

1, 2, 4, 8, 509, 1018, 2036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4064 and 4072. The biggest common factor number is the GCF number.
So the greatest common factor 4064 and 4072 is 8.

Also check out the Least Common Multiple of 4064 and 4072