What is the Greatest Common Factor of 78180 and 78187?

Greatest common factor (GCF) of 78180 and 78187 is 1.

GCF(78180,78187) = 1

We will now calculate the prime factors of 78180 and 78187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78180 and 78187.

How to find the GCF of 78180 and 78187?

We will first find the prime factorization of 78180 and 78187. After we will calculate the factors of 78180 and 78187 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 78187

Prime factors of 78187 are 41, 1907. Prime factorization of 78187 in exponential form is:

78187 = 41¹ × 1907¹

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 78187

List of positive integer factors of 78187 that divides 78180 without a remainder.

1, 41, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78180 and 78187. The biggest common factor number is the GCF number.
So the greatest common factor 78180 and 78187 is 1.

Also check out the Least Common Multiple of 78180 and 78187