What is the Greatest Common Factor of 78075 and 78083?

Greatest common factor (GCF) of 78075 and 78083 is 1.

GCF(78075,78083) = 1

We will now calculate the prime factors of 78075 and 78083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78075 and 78083.

How to find the GCF of 78075 and 78083?

We will first find the prime factorization of 78075 and 78083. After we will calculate the factors of 78075 and 78083 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 78083

Prime factors of 78083 are 113, 691. Prime factorization of 78083 in exponential form is:

78083 = 113¹ × 691¹

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 78083

List of positive integer factors of 78083 that divides 78075 without a remainder.

1, 113, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78075 and 78083. The biggest common factor number is the GCF number.
So the greatest common factor 78075 and 78083 is 1.

Also check out the Least Common Multiple of 78075 and 78083