What is the Greatest Common Factor of 2768 and 2777?

Greatest common factor (GCF) of 2768 and 2777 is 1.

GCF(2768,2777) = 1

We will now calculate the prime factors of 2768 and 2777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2768 and 2777.

How to find the GCF of 2768 and 2777?

We will first find the prime factorization of 2768 and 2777. After we will calculate the factors of 2768 and 2777 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 2777

Prime factors of 2777 are 2777. Prime factorization of 2777 in exponential form is:

2777 = 2777¹

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 2777

List of positive integer factors of 2777 that divides 2768 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2768 and 2777. The biggest common factor number is the GCF number.
So the greatest common factor 2768 and 2777 is 1.

Also check out the Least Common Multiple of 2768 and 2777