What is the Greatest Common Factor of 2742 and 2754?

Greatest common factor (GCF) of 2742 and 2754 is 6.

GCF(2742,2754) = 6

We will now calculate the prime factors of 2742 and 2754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2742 and 2754.

How to find the GCF of 2742 and 2754?

We will first find the prime factorization of 2742 and 2754. After we will calculate the factors of 2742 and 2754 and find the biggest common factor number .

Step-1: Prime Factorization of 2742

Prime factors of 2742 are 2, 3, 457. Prime factorization of 2742 in exponential form is:

2742 = 2¹ × 3¹ × 457¹

Step-2: 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-3: Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1, 2, 3, 6, 457, 914, 1371

Step-4: Factors of 2754

List of positive integer factors of 2754 that divides 2742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2742 and 2754. The biggest common factor number is the GCF number.
So the greatest common factor 2742 and 2754 is 6.

Also check out the Least Common Multiple of 2742 and 2754