What is the Greatest Common Factor of 78180 and 78190?

Greatest common factor (GCF) of 78180 and 78190 is 10.

GCF(78180,78190) = 10

We will now calculate the prime factors of 78180 and 78190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78180 and 78190.

How to find the GCF of 78180 and 78190?

We will first find the prime factorization of 78180 and 78190. After we will calculate the factors of 78180 and 78190 and find the biggest common factor number .

Step-1: Prime Factorization of 78180

Prime factors of 78180 are 2, 3, 5, 1303. Prime factorization of 78180 in exponential form is:

78180 = 2² × 3¹ × 5¹ × 1303¹

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 78180

List of positive integer factors of 78180 that divides 78180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1303, 2606, 3909, 5212, 6515, 7818, 13030, 15636, 19545, 26060, 39090

Step-4: Factors of 78190

List of positive integer factors of 78190 that divides 78180 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 78180 and 78190. The biggest common factor number is the GCF number.
So the greatest common factor 78180 and 78190 is 10.

Also check out the Least Common Multiple of 78180 and 78190