What is the Greatest Common Factor of 7106 and 7125?

Greatest common factor (GCF) of 7106 and 7125 is 19.

GCF(7106,7125) = 19

We will now calculate the prime factors of 7106 and 7125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7106 and 7125.

How to find the GCF of 7106 and 7125?

We will first find the prime factorization of 7106 and 7125. After we will calculate the factors of 7106 and 7125 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 7125

Prime factors of 7125 are 3, 5, 19. Prime factorization of 7125 in exponential form is:

7125 = 3¹ × 5³ × 19¹

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 7125

List of positive integer factors of 7125 that divides 7106 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7106 and 7125. The biggest common factor number is the GCF number.
So the greatest common factor 7106 and 7125 is 19.

Also check out the Least Common Multiple of 7106 and 7125