What is the Greatest Common Factor of 8064 and 8072?

Greatest common factor (GCF) of 8064 and 8072 is 8.

GCF(8064,8072) = 8

We will now calculate the prime factors of 8064 and 8072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8064 and 8072.

How to find the GCF of 8064 and 8072?

We will first find the prime factorization of 8064 and 8072. After we will calculate the factors of 8064 and 8072 and find the biggest common factor number .

Step-1: Prime Factorization of 8064

Prime factors of 8064 are 2, 3, 7. Prime factorization of 8064 in exponential form is:

8064 = 2⁷ × 3² × 7¹

Step-2: Prime Factorization of 8072

Prime factors of 8072 are 2, 1009. Prime factorization of 8072 in exponential form is:

8072 = 2³ × 1009¹

Step-3: Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032

Step-4: Factors of 8072

List of positive integer factors of 8072 that divides 8064 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8064 and 8072. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8072 is 8.

Also check out the Least Common Multiple of 8064 and 8072