What is the Greatest Common Factor of 2698 and 2717?

Greatest common factor (GCF) of 2698 and 2717 is 19.

GCF(2698,2717) = 19

We will now calculate the prime factors of 2698 and 2717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2698 and 2717.

How to find the GCF of 2698 and 2717?

We will first find the prime factorization of 2698 and 2717. After we will calculate the factors of 2698 and 2717 and find the biggest common factor number .

Step-1: Prime Factorization of 2698

Prime factors of 2698 are 2, 19, 71. Prime factorization of 2698 in exponential form is:

2698 = 2¹ × 19¹ × 71¹

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 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1, 2, 19, 38, 71, 142, 1349

Step-4: Factors of 2717

List of positive integer factors of 2717 that divides 2698 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2698 and 2717. The biggest common factor number is the GCF number.
So the greatest common factor 2698 and 2717 is 19.

Also check out the Least Common Multiple of 2698 and 2717