What is the Greatest Common Factor of 2680 and 2688?

Greatest common factor (GCF) of 2680 and 2688 is 8.

GCF(2680,2688) = 8

We will now calculate the prime factors of 2680 and 2688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2680 and 2688.

How to find the GCF of 2680 and 2688?

We will first find the prime factorization of 2680 and 2688. After we will calculate the factors of 2680 and 2688 and find the biggest common factor number .

Step-1: Prime Factorization of 2680

Prime factors of 2680 are 2, 5, 67. Prime factorization of 2680 in exponential form is:

2680 = 2³ × 5¹ × 67¹

Step-2: 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-3: Factors of 2680

List of positive integer factors of 2680 that divides 2680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340

Step-4: Factors of 2688

List of positive integer factors of 2688 that divides 2680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2680 and 2688. The biggest common factor number is the GCF number.
So the greatest common factor 2680 and 2688 is 8.

Also check out the Least Common Multiple of 2680 and 2688