What is the Greatest Common Factor of 2766 and 2784?

Greatest common factor (GCF) of 2766 and 2784 is 6.

GCF(2766,2784) = 6

We will now calculate the prime factors of 2766 and 2784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2766 and 2784.

How to find the GCF of 2766 and 2784?

We will first find the prime factorization of 2766 and 2784. After we will calculate the factors of 2766 and 2784 and find the biggest common factor number .

Step-1: Prime Factorization of 2766

Prime factors of 2766 are 2, 3, 461. Prime factorization of 2766 in exponential form is:

2766 = 2¹ × 3¹ × 461¹

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 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1, 2, 3, 6, 461, 922, 1383

Step-4: Factors of 2784

List of positive integer factors of 2784 that divides 2766 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 2766 and 2784. The biggest common factor number is the GCF number.
So the greatest common factor 2766 and 2784 is 6.

Also check out the Least Common Multiple of 2766 and 2784