What is the Greatest Common Factor of 2730 and 2750?

Greatest common factor (GCF) of 2730 and 2750 is 10.

GCF(2730,2750) = 10

We will now calculate the prime factors of 2730 and 2750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2730 and 2750.

How to find the GCF of 2730 and 2750?

We will first find the prime factorization of 2730 and 2750. After we will calculate the factors of 2730 and 2750 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 2750

Prime factors of 2750 are 2, 5, 11. Prime factorization of 2750 in exponential form is:

2750 = 2¹ × 5³ × 11¹

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 2750

List of positive integer factors of 2750 that divides 2730 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2730 and 2750. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2750 is 10.

Also check out the Least Common Multiple of 2730 and 2750