What is the Greatest Common Factor of 2730 and 2741?

Greatest common factor (GCF) of 2730 and 2741 is 1.

GCF(2730,2741) = 1

We will now calculate the prime factors of 2730 and 2741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2730 and 2741.

How to find the GCF of 2730 and 2741?

We will first find the prime factorization of 2730 and 2741. After we will calculate the factors of 2730 and 2741 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 2741

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 2741¹

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 2741

List of positive integer factors of 2741 that divides 2730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2730 and 2741. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2741 is 1.

Also check out the Least Common Multiple of 2730 and 2741