What is the Greatest Common Factor of 77305 and 77310?

Greatest common factor (GCF) of 77305 and 77310 is 5.

GCF(77305,77310) = 5

We will now calculate the prime factors of 77305 and 77310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77305 and 77310.

How to find the GCF of 77305 and 77310?

We will first find the prime factorization of 77305 and 77310. After we will calculate the factors of 77305 and 77310 and find the biggest common factor number .

Step-1: Prime Factorization of 77305

Prime factors of 77305 are 5, 15461. Prime factorization of 77305 in exponential form is:

77305 = 5¹ × 15461¹

Step-2: 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-3: Factors of 77305

List of positive integer factors of 77305 that divides 77305 without a remainder.

1, 5, 15461

Step-4: Factors of 77310

List of positive integer factors of 77310 that divides 77305 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77305 and 77310. The biggest common factor number is the GCF number.
So the greatest common factor 77305 and 77310 is 5.

Also check out the Least Common Multiple of 77305 and 77310