What is the Greatest Common Factor of 77310 and 77328?

Greatest common factor (GCF) of 77310 and 77328 is 18.

GCF(77310,77328) = 18

We will now calculate the prime factors of 77310 and 77328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77310 and 77328.

How to find the GCF of 77310 and 77328?

We will first find the prime factorization of 77310 and 77328. After we will calculate the factors of 77310 and 77328 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 77328

Prime factors of 77328 are 2, 3, 179. Prime factorization of 77328 in exponential form is:

77328 = 2⁴ × 3³ × 179¹

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 77328

List of positive integer factors of 77328 that divides 77310 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 179, 216, 358, 432, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 4833, 6444, 8592, 9666, 12888, 19332, 25776, 38664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77310 and 77328. The biggest common factor number is the GCF number.
So the greatest common factor 77310 and 77328 is 18.

Also check out the Least Common Multiple of 77310 and 77328