What is the Greatest Common Factor of 76171 and 76190?

Greatest common factor (GCF) of 76171 and 76190 is 19.

GCF(76171,76190) = 19

We will now calculate the prime factors of 76171 and 76190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76171 and 76190.

How to find the GCF of 76171 and 76190?

We will first find the prime factorization of 76171 and 76190. After we will calculate the factors of 76171 and 76190 and find the biggest common factor number .

Step-1: Prime Factorization of 76171

Prime factors of 76171 are 19, 211. Prime factorization of 76171 in exponential form is:

76171 = 19² × 211¹

Step-2: Prime Factorization of 76190

Prime factors of 76190 are 2, 5, 19, 401. Prime factorization of 76190 in exponential form is:

76190 = 2¹ × 5¹ × 19¹ × 401¹

Step-3: Factors of 76171

List of positive integer factors of 76171 that divides 76171 without a remainder.

1, 19, 211, 361, 4009

Step-4: Factors of 76190

List of positive integer factors of 76190 that divides 76171 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 401, 802, 2005, 4010, 7619, 15238, 38095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76171 and 76190. The biggest common factor number is the GCF number.
So the greatest common factor 76171 and 76190 is 19.

Also check out the Least Common Multiple of 76171 and 76190