What is the Greatest Common Factor of 2705 and 2717?

Greatest common factor (GCF) of 2705 and 2717 is 1.

GCF(2705,2717) = 1

We will now calculate the prime factors of 2705 and 2717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2705 and 2717.

How to find the GCF of 2705 and 2717?

We will first find the prime factorization of 2705 and 2717. After we will calculate the factors of 2705 and 2717 and find the biggest common factor number .

Step-1: Prime Factorization of 2705

Prime factors of 2705 are 5, 541. Prime factorization of 2705 in exponential form is:

2705 = 5¹ × 541¹

Step-2: Prime Factorization of 2717

Prime factors of 2717 are 11, 13, 19. Prime factorization of 2717 in exponential form is:

2717 = 11¹ × 13¹ × 19¹

Step-3: Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1, 5, 541

Step-4: Factors of 2717

List of positive integer factors of 2717 that divides 2705 without a remainder.

1, 11, 13, 19, 143, 209, 247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2705 and 2717. The biggest common factor number is the GCF number.
So the greatest common factor 2705 and 2717 is 1.

Also check out the Least Common Multiple of 2705 and 2717