What is the Greatest Common Factor of 8064 and 8080?

Greatest common factor (GCF) of 8064 and 8080 is 16.

GCF(8064,8080) = 16

We will now calculate the prime factors of 8064 and 8080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8064 and 8080.

How to find the GCF of 8064 and 8080?

We will first find the prime factorization of 8064 and 8080. After we will calculate the factors of 8064 and 8080 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 8080

Prime factors of 8080 are 2, 5, 101. Prime factorization of 8080 in exponential form is:

8080 = 2⁴ × 5¹ × 101¹

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 8080

List of positive integer factors of 8080 that divides 8064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8064 and 8080. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8080 is 16.

Also check out the Least Common Multiple of 8064 and 8080