What is the Greatest Common Factor of 2768 and 2784?

Greatest common factor (GCF) of 2768 and 2784 is 16.

GCF(2768,2784) = 16

We will now calculate the prime factors of 2768 and 2784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2768 and 2784.

How to find the GCF of 2768 and 2784?

We will first find the prime factorization of 2768 and 2784. After we will calculate the factors of 2768 and 2784 and find the biggest common factor number .

Step-1: Prime Factorization of 2768

Prime factors of 2768 are 2, 173. Prime factorization of 2768 in exponential form is:

2768 = 2⁴ × 173¹

Step-2: Prime Factorization of 2784

Prime factors of 2784 are 2, 3, 29. Prime factorization of 2784 in exponential form is:

2784 = 2⁵ × 3¹ × 29¹

Step-3: Factors of 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1, 2, 4, 8, 16, 173, 346, 692, 1384

Step-4: Factors of 2784

List of positive integer factors of 2784 that divides 2768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2768 and 2784. The biggest common factor number is the GCF number.
So the greatest common factor 2768 and 2784 is 16.

Also check out the Least Common Multiple of 2768 and 2784