What is the Greatest Common Factor of 19071 and 19084?

Greatest common factor (GCF) of 19071 and 19084 is 13.

GCF(19071,19084) = 13

We will now calculate the prime factors of 19071 and 19084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19071 and 19084.

How to find the GCF of 19071 and 19084?

We will first find the prime factorization of 19071 and 19084. After we will calculate the factors of 19071 and 19084 and find the biggest common factor number .

Step-1: Prime Factorization of 19071

Prime factors of 19071 are 3, 13, 163. Prime factorization of 19071 in exponential form is:

19071 = 3² × 13¹ × 163¹

Step-2: Prime Factorization of 19084

Prime factors of 19084 are 2, 13, 367. Prime factorization of 19084 in exponential form is:

19084 = 2² × 13¹ × 367¹

Step-3: Factors of 19071

List of positive integer factors of 19071 that divides 19071 without a remainder.

1, 3, 9, 13, 39, 117, 163, 489, 1467, 2119, 6357

Step-4: Factors of 19084

List of positive integer factors of 19084 that divides 19071 without a remainder.

1, 2, 4, 13, 26, 52, 367, 734, 1468, 4771, 9542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19071 and 19084. The biggest common factor number is the GCF number.
So the greatest common factor 19071 and 19084 is 13.

Also check out the Least Common Multiple of 19071 and 19084