What is the Greatest Common Factor of 2709 and 2719?

Greatest common factor (GCF) of 2709 and 2719 is 1.

GCF(2709,2719) = 1

We will now calculate the prime factors of 2709 and 2719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2709 and 2719.

How to find the GCF of 2709 and 2719?

We will first find the prime factorization of 2709 and 2719. After we will calculate the factors of 2709 and 2719 and find the biggest common factor number .

Step-1: Prime Factorization of 2709

Prime factors of 2709 are 3, 7, 43. Prime factorization of 2709 in exponential form is:

2709 = 3² × 7¹ × 43¹

Step-2: Prime Factorization of 2719

Prime factors of 2719 are 2719. Prime factorization of 2719 in exponential form is:

2719 = 2719¹

Step-3: Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903

Step-4: Factors of 2719

List of positive integer factors of 2719 that divides 2709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2709 and 2719. The biggest common factor number is the GCF number.
So the greatest common factor 2709 and 2719 is 1.

Also check out the Least Common Multiple of 2709 and 2719