What is the Greatest Common Factor of 77355 and 77365?

Greatest common factor (GCF) of 77355 and 77365 is 5.

GCF(77355,77365) = 5

We will now calculate the prime factors of 77355 and 77365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77355 and 77365.

How to find the GCF of 77355 and 77365?

We will first find the prime factorization of 77355 and 77365. After we will calculate the factors of 77355 and 77365 and find the biggest common factor number .

Step-1: Prime Factorization of 77355

Prime factors of 77355 are 3, 5, 191. Prime factorization of 77355 in exponential form is:

77355 = 3⁴ × 5¹ × 191¹

Step-2: Prime Factorization of 77365

Prime factors of 77365 are 5, 15473. Prime factorization of 77365 in exponential form is:

77365 = 5¹ × 15473¹

Step-3: Factors of 77355

List of positive integer factors of 77355 that divides 77355 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 191, 405, 573, 955, 1719, 2865, 5157, 8595, 15471, 25785

Step-4: Factors of 77365

List of positive integer factors of 77365 that divides 77355 without a remainder.

1, 5, 15473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77355 and 77365. The biggest common factor number is the GCF number.
So the greatest common factor 77355 and 77365 is 5.

Also check out the Least Common Multiple of 77355 and 77365