What is the Greatest Common Factor of 2754 and 2769?

Greatest common factor (GCF) of 2754 and 2769 is 3.

GCF(2754,2769) = 3

We will now calculate the prime factors of 2754 and 2769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2754 and 2769.

How to find the GCF of 2754 and 2769?

We will first find the prime factorization of 2754 and 2769. After we will calculate the factors of 2754 and 2769 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 2769

Prime factors of 2769 are 3, 13, 71. Prime factorization of 2769 in exponential form is:

2769 = 3¹ × 13¹ × 71¹

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 2769

List of positive integer factors of 2769 that divides 2754 without a remainder.

1, 3, 13, 39, 71, 213, 923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2754 and 2769. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2769 is 3.

Also check out the Least Common Multiple of 2754 and 2769