What is the Greatest Common Factor of 80064 and 80072?

Greatest common factor (GCF) of 80064 and 80072 is 8.

GCF(80064,80072) = 8

We will now calculate the prime factors of 80064 and 80072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80064 and 80072.

How to find the GCF of 80064 and 80072?

We will first find the prime factorization of 80064 and 80072. After we will calculate the factors of 80064 and 80072 and find the biggest common factor number .

Step-1: Prime Factorization of 80064

Prime factors of 80064 are 2, 3, 139. Prime factorization of 80064 in exponential form is:

80064 = 2⁶ × 3² × 139¹

Step-2: Prime Factorization of 80072

Prime factors of 80072 are 2, 10009. Prime factorization of 80072 in exponential form is:

80072 = 2³ × 10009¹

Step-3: Factors of 80064

List of positive integer factors of 80064 that divides 80064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 139, 144, 192, 278, 288, 417, 556, 576, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 8896, 10008, 13344, 20016, 26688, 40032

Step-4: Factors of 80072

List of positive integer factors of 80072 that divides 80064 without a remainder.

1, 2, 4, 8, 10009, 20018, 40036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80064 and 80072. The biggest common factor number is the GCF number.
So the greatest common factor 80064 and 80072 is 8.

Also check out the Least Common Multiple of 80064 and 80072