What is the Greatest Common Factor of 2754 and 2774?

Greatest common factor (GCF) of 2754 and 2774 is 2.

GCF(2754,2774) = 2

We will now calculate the prime factors of 2754 and 2774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2754 and 2774.

How to find the GCF of 2754 and 2774?

We will first find the prime factorization of 2754 and 2774. After we will calculate the factors of 2754 and 2774 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 2774

Prime factors of 2774 are 2, 19, 73. Prime factorization of 2774 in exponential form is:

2774 = 2¹ × 19¹ × 73¹

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 2774

List of positive integer factors of 2774 that divides 2754 without a remainder.

1, 2, 19, 38, 73, 146, 1387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2754 and 2774. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2774 is 2.

Also check out the Least Common Multiple of 2754 and 2774