What is the Greatest Common Factor of 8064 and 8075?

Greatest common factor (GCF) of 8064 and 8075 is 1.

GCF(8064,8075) = 1

We will now calculate the prime factors of 8064 and 8075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8064 and 8075.

How to find the GCF of 8064 and 8075?

We will first find the prime factorization of 8064 and 8075. After we will calculate the factors of 8064 and 8075 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 8075

Prime factors of 8075 are 5, 17, 19. Prime factorization of 8075 in exponential form is:

8075 = 5² × 17¹ × 19¹

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 8075

List of positive integer factors of 8075 that divides 8064 without a remainder.

1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8064 and 8075. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8075 is 1.

Also check out the Least Common Multiple of 8064 and 8075