What is the Greatest Common Factor of 77310 and 77329?

Greatest common factor (GCF) of 77310 and 77329 is 1.

GCF(77310,77329) = 1

We will now calculate the prime factors of 77310 and 77329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77310 and 77329.

How to find the GCF of 77310 and 77329?

We will first find the prime factorization of 77310 and 77329. After we will calculate the factors of 77310 and 77329 and find the biggest common factor number .

Step-1: Prime Factorization of 77310

Prime factors of 77310 are 2, 3, 5, 859. Prime factorization of 77310 in exponential form is:

77310 = 2¹ × 3² × 5¹ × 859¹

Step-2: Prime Factorization of 77329

Prime factors of 77329 are 7, 11047. Prime factorization of 77329 in exponential form is:

77329 = 7¹ × 11047¹

Step-3: Factors of 77310

List of positive integer factors of 77310 that divides 77310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 859, 1718, 2577, 4295, 5154, 7731, 8590, 12885, 15462, 25770, 38655

Step-4: Factors of 77329

List of positive integer factors of 77329 that divides 77310 without a remainder.

1, 7, 11047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77310 and 77329. The biggest common factor number is the GCF number.
So the greatest common factor 77310 and 77329 is 1.

Also check out the Least Common Multiple of 77310 and 77329