What is the Greatest Common Factor of 2605 and 2614?

Greatest common factor (GCF) of 2605 and 2614 is 1.

GCF(2605,2614) = 1

We will now calculate the prime factors of 2605 and 2614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2605 and 2614.

How to find the GCF of 2605 and 2614?

We will first find the prime factorization of 2605 and 2614. After we will calculate the factors of 2605 and 2614 and find the biggest common factor number .

Step-1: Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 5¹ × 521¹

Step-2: Prime Factorization of 2614

Prime factors of 2614 are 2, 1307. Prime factorization of 2614 in exponential form is:

2614 = 2¹ × 1307¹

Step-3: Factors of 2605

List of positive integer factors of 2605 that divides 2605 without a remainder.

1, 5, 521

Step-4: Factors of 2614

List of positive integer factors of 2614 that divides 2605 without a remainder.

1, 2, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2605 and 2614. The biggest common factor number is the GCF number.
So the greatest common factor 2605 and 2614 is 1.

Also check out the Least Common Multiple of 2605 and 2614