What is the Greatest Common Factor of 2730 and 2744?

Greatest common factor (GCF) of 2730 and 2744 is 14.

GCF(2730,2744) = 14

We will now calculate the prime factors of 2730 and 2744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2730 and 2744.

How to find the GCF of 2730 and 2744?

We will first find the prime factorization of 2730 and 2744. After we will calculate the factors of 2730 and 2744 and find the biggest common factor number .

Step-1: Prime Factorization of 2730

Prime factors of 2730 are 2, 3, 5, 7, 13. Prime factorization of 2730 in exponential form is:

2730 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 2744

Prime factors of 2744 are 2, 7. Prime factorization of 2744 in exponential form is:

2744 = 2³ × 7³

Step-3: Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365

Step-4: Factors of 2744

List of positive integer factors of 2744 that divides 2730 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2730 and 2744. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2744 is 14.

Also check out the Least Common Multiple of 2730 and 2744