What is the Greatest Common Factor of 2723 and 2730?

Greatest common factor (GCF) of 2723 and 2730 is 7.

GCF(2723,2730) = 7

We will now calculate the prime factors of 2723 and 2730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2723 and 2730.

How to find the GCF of 2723 and 2730?

We will first find the prime factorization of 2723 and 2730. After we will calculate the factors of 2723 and 2730 and find the biggest common factor number .

Step-1: Prime Factorization of 2723

Prime factors of 2723 are 7, 389. Prime factorization of 2723 in exponential form is:

2723 = 7¹ × 389¹

Step-2: 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-3: Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1, 7, 389

Step-4: Factors of 2730

List of positive integer factors of 2730 that divides 2723 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2723 and 2730. The biggest common factor number is the GCF number.
So the greatest common factor 2723 and 2730 is 7.

Also check out the Least Common Multiple of 2723 and 2730