What is the Greatest Common Factor of 75789 and 75799?

Greatest common factor (GCF) of 75789 and 75799 is 1.

GCF(75789,75799) = 1

We will now calculate the prime factors of 75789 and 75799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75789 and 75799.

How to find the GCF of 75789 and 75799?

We will first find the prime factorization of 75789 and 75799. After we will calculate the factors of 75789 and 75799 and find the biggest common factor number .

Step-1: Prime Factorization of 75789

Prime factors of 75789 are 3, 7, 401. Prime factorization of 75789 in exponential form is:

75789 = 3³ × 7¹ × 401¹

Step-2: Prime Factorization of 75799

Prime factors of 75799 are 229, 331. Prime factorization of 75799 in exponential form is:

75799 = 229¹ × 331¹

Step-3: Factors of 75789

List of positive integer factors of 75789 that divides 75789 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 401, 1203, 2807, 3609, 8421, 10827, 25263

Step-4: Factors of 75799

List of positive integer factors of 75799 that divides 75789 without a remainder.

1, 229, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75789 and 75799. The biggest common factor number is the GCF number.
So the greatest common factor 75789 and 75799 is 1.

Also check out the Least Common Multiple of 75789 and 75799