What is the Greatest Common Factor of 7106 and 7117?

Greatest common factor (GCF) of 7106 and 7117 is 11.

GCF(7106,7117) = 11

We will now calculate the prime factors of 7106 and 7117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7106 and 7117.

How to find the GCF of 7106 and 7117?

We will first find the prime factorization of 7106 and 7117. After we will calculate the factors of 7106 and 7117 and find the biggest common factor number .

Step-1: Prime Factorization of 7106

Prime factors of 7106 are 2, 11, 17, 19. Prime factorization of 7106 in exponential form is:

7106 = 2¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 7117

Prime factors of 7117 are 11, 647. Prime factorization of 7117 in exponential form is:

7117 = 11¹ × 647¹

Step-3: Factors of 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553

Step-4: Factors of 7117

List of positive integer factors of 7117 that divides 7106 without a remainder.

1, 11, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7106 and 7117. The biggest common factor number is the GCF number.
So the greatest common factor 7106 and 7117 is 11.

Also check out the Least Common Multiple of 7106 and 7117