What is the Greatest Common Factor of 78171 and 78190?

Greatest common factor (GCF) of 78171 and 78190 is 1.

GCF(78171,78190) = 1

We will now calculate the prime factors of 78171 and 78190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78171 and 78190.

How to find the GCF of 78171 and 78190?

We will first find the prime factorization of 78171 and 78190. After we will calculate the factors of 78171 and 78190 and find the biggest common factor number .

Step-1: Prime Factorization of 78171

Prime factors of 78171 are 3, 71, 367. Prime factorization of 78171 in exponential form is:

78171 = 3¹ × 71¹ × 367¹

Step-2: Prime Factorization of 78190

Prime factors of 78190 are 2, 5, 7, 1117. Prime factorization of 78190 in exponential form is:

78190 = 2¹ × 5¹ × 7¹ × 1117¹

Step-3: Factors of 78171

List of positive integer factors of 78171 that divides 78171 without a remainder.

1, 3, 71, 213, 367, 1101, 26057

Step-4: Factors of 78190

List of positive integer factors of 78190 that divides 78171 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1117, 2234, 5585, 7819, 11170, 15638, 39095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78171 and 78190. The biggest common factor number is the GCF number.
So the greatest common factor 78171 and 78190 is 1.

Also check out the Least Common Multiple of 78171 and 78190