What is the Greatest Common Factor of 77310 and 77330?

Greatest common factor (GCF) of 77310 and 77330 is 10.

GCF(77310,77330) = 10

We will now calculate the prime factors of 77310 and 77330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77310 and 77330.

How to find the GCF of 77310 and 77330?

We will first find the prime factorization of 77310 and 77330. After we will calculate the factors of 77310 and 77330 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 77330

Prime factors of 77330 are 2, 5, 11, 19, 37. Prime factorization of 77330 in exponential form is:

77330 = 2¹ × 5¹ × 11¹ × 19¹ × 37¹

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 77330

List of positive integer factors of 77330 that divides 77310 without a remainder.

1, 2, 5, 10, 11, 19, 22, 37, 38, 55, 74, 95, 110, 185, 190, 209, 370, 407, 418, 703, 814, 1045, 1406, 2035, 2090, 3515, 4070, 7030, 7733, 15466, 38665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77310 and 77330. The biggest common factor number is the GCF number.
So the greatest common factor 77310 and 77330 is 10.

Also check out the Least Common Multiple of 77310 and 77330