What is the Greatest Common Factor of 4080 and 4096?

Greatest common factor (GCF) of 4080 and 4096 is 16.

GCF(4080,4096) = 16

We will now calculate the prime factors of 4080 and 4096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4080 and 4096.

How to find the GCF of 4080 and 4096?

We will first find the prime factorization of 4080 and 4096. After we will calculate the factors of 4080 and 4096 and find the biggest common factor number .

Step-1: Prime Factorization of 4080

Prime factors of 4080 are 2, 3, 5, 17. Prime factorization of 4080 in exponential form is:

4080 = 2⁴ × 3¹ × 5¹ × 17¹

Step-2: Prime Factorization of 4096

Prime factors of 4096 are 2. Prime factorization of 4096 in exponential form is:

4096 = 2¹²

Step-3: Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040

Step-4: Factors of 4096

List of positive integer factors of 4096 that divides 4080 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4080 and 4096. The biggest common factor number is the GCF number.
So the greatest common factor 4080 and 4096 is 16.

Also check out the Least Common Multiple of 4080 and 4096