What is the Greatest Common Factor of 78075 and 78091?

Greatest common factor (GCF) of 78075 and 78091 is 1.

GCF(78075,78091) = 1

We will now calculate the prime factors of 78075 and 78091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78075 and 78091.

How to find the GCF of 78075 and 78091?

We will first find the prime factorization of 78075 and 78091. After we will calculate the factors of 78075 and 78091 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 78091

Prime factors of 78091 are 13, 6007. Prime factorization of 78091 in exponential form is:

78091 = 13¹ × 6007¹

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 78091

List of positive integer factors of 78091 that divides 78075 without a remainder.

1, 13, 6007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78075 and 78091. The biggest common factor number is the GCF number.
So the greatest common factor 78075 and 78091 is 1.

Also check out the Least Common Multiple of 78075 and 78091