What is the Greatest Common Factor of 8064 and 8073?

Greatest common factor (GCF) of 8064 and 8073 is 9.

GCF(8064,8073) = 9

We will now calculate the prime factors of 8064 and 8073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8064 and 8073.

How to find the GCF of 8064 and 8073?

We will first find the prime factorization of 8064 and 8073. After we will calculate the factors of 8064 and 8073 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 8073

Prime factors of 8073 are 3, 13, 23. Prime factorization of 8073 in exponential form is:

8073 = 3³ × 13¹ × 23¹

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 8073

List of positive integer factors of 8073 that divides 8064 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8064 and 8073. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8073 is 9.

Also check out the Least Common Multiple of 8064 and 8073