What is the Greatest Common Factor of 78185 and 78190?

Greatest common factor (GCF) of 78185 and 78190 is 5.

GCF(78185,78190) = 5

We will now calculate the prime factors of 78185 and 78190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78185 and 78190.

How to find the GCF of 78185 and 78190?

We will first find the prime factorization of 78185 and 78190. After we will calculate the factors of 78185 and 78190 and find the biggest common factor number .

Step-1: Prime Factorization of 78185

Prime factors of 78185 are 5, 19, 823. Prime factorization of 78185 in exponential form is:

78185 = 5¹ × 19¹ × 823¹

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 78185

List of positive integer factors of 78185 that divides 78185 without a remainder.

1, 5, 19, 95, 823, 4115, 15637

Step-4: Factors of 78190

List of positive integer factors of 78190 that divides 78185 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 78185 and 78190. The biggest common factor number is the GCF number.
So the greatest common factor 78185 and 78190 is 5.

Also check out the Least Common Multiple of 78185 and 78190