What is the Greatest Common Factor of 2754 and 2771?

Greatest common factor (GCF) of 2754 and 2771 is 17.

GCF(2754,2771) = 17

We will now calculate the prime factors of 2754 and 2771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2754 and 2771.

How to find the GCF of 2754 and 2771?

We will first find the prime factorization of 2754 and 2771. After we will calculate the factors of 2754 and 2771 and find the biggest common factor number .

Step-1: Prime Factorization of 2754

Prime factors of 2754 are 2, 3, 17. Prime factorization of 2754 in exponential form is:

2754 = 2¹ × 3⁴ × 17¹

Step-2: Prime Factorization of 2771

Prime factors of 2771 are 17, 163. Prime factorization of 2771 in exponential form is:

2771 = 17¹ × 163¹

Step-3: Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377

Step-4: Factors of 2771

List of positive integer factors of 2771 that divides 2754 without a remainder.

1, 17, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2754 and 2771. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2771 is 17.

Also check out the Least Common Multiple of 2754 and 2771