What is the Greatest Common Factor of 78075 and 78088?

Greatest common factor (GCF) of 78075 and 78088 is 1.

GCF(78075,78088) = 1

We will now calculate the prime factors of 78075 and 78088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78075 and 78088.

How to find the GCF of 78075 and 78088?

We will first find the prime factorization of 78075 and 78088. After we will calculate the factors of 78075 and 78088 and find the biggest common factor number .

Step-1: Prime Factorization of 78075

Prime factors of 78075 are 3, 5, 347. Prime factorization of 78075 in exponential form is:

78075 = 3² × 5² × 347¹

Step-2: Prime Factorization of 78088

Prime factors of 78088 are 2, 43, 227. Prime factorization of 78088 in exponential form is:

78088 = 2³ × 43¹ × 227¹

Step-3: Factors of 78075

List of positive integer factors of 78075 that divides 78075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 347, 1041, 1735, 3123, 5205, 8675, 15615, 26025

Step-4: Factors of 78088

List of positive integer factors of 78088 that divides 78075 without a remainder.

1, 2, 4, 8, 43, 86, 172, 227, 344, 454, 908, 1816, 9761, 19522, 39044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78075 and 78088. The biggest common factor number is the GCF number.
So the greatest common factor 78075 and 78088 is 1.

Also check out the Least Common Multiple of 78075 and 78088