What is the Greatest Common Factor of 2714 and 2730?

Greatest common factor (GCF) of 2714 and 2730 is 2.

GCF(2714,2730) = 2

We will now calculate the prime factors of 2714 and 2730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2714 and 2730.

How to find the GCF of 2714 and 2730?

We will first find the prime factorization of 2714 and 2730. After we will calculate the factors of 2714 and 2730 and find the biggest common factor number .

Step-1: Prime Factorization of 2714

Prime factors of 2714 are 2, 23, 59. Prime factorization of 2714 in exponential form is:

2714 = 2¹ × 23¹ × 59¹

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 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1, 2, 23, 46, 59, 118, 1357

Step-4: Factors of 2730

List of positive integer factors of 2730 that divides 2714 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 2714 and 2730. The biggest common factor number is the GCF number.
So the greatest common factor 2714 and 2730 is 2.

Also check out the Least Common Multiple of 2714 and 2730