What is the Greatest Common Factor of 2754 and 2772?

Greatest common factor (GCF) of 2754 and 2772 is 18.

GCF(2754,2772) = 18

We will now calculate the prime factors of 2754 and 2772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2754 and 2772.

How to find the GCF of 2754 and 2772?

We will first find the prime factorization of 2754 and 2772. After we will calculate the factors of 2754 and 2772 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 2772

Prime factors of 2772 are 2, 3, 7, 11. Prime factorization of 2772 in exponential form is:

2772 = 2² × 3² × 7¹ × 11¹

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 2772

List of positive integer factors of 2772 that divides 2754 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2754 and 2772. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2772 is 18.

Also check out the Least Common Multiple of 2754 and 2772