What is the Greatest Common Factor of 2688 and 2704?

Greatest common factor (GCF) of 2688 and 2704 is 16.

GCF(2688,2704) = 16

We will now calculate the prime factors of 2688 and 2704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2688 and 2704.

How to find the GCF of 2688 and 2704?

We will first find the prime factorization of 2688 and 2704. After we will calculate the factors of 2688 and 2704 and find the biggest common factor number .

Step-1: Prime Factorization of 2688

Prime factors of 2688 are 2, 3, 7. Prime factorization of 2688 in exponential form is:

2688 = 2⁷ × 3¹ × 7¹

Step-2: Prime Factorization of 2704

Prime factors of 2704 are 2, 13. Prime factorization of 2704 in exponential form is:

2704 = 2⁴ × 13²

Step-3: Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344

Step-4: Factors of 2704

List of positive integer factors of 2704 that divides 2688 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2688 and 2704. The biggest common factor number is the GCF number.
So the greatest common factor 2688 and 2704 is 16.

Also check out the Least Common Multiple of 2688 and 2704