What is the Greatest Common Factor of 87310 and 87330?

Greatest common factor (GCF) of 87310 and 87330 is 10.

GCF(87310,87330) = 10

We will now calculate the prime factors of 87310 and 87330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87310 and 87330.

How to find the GCF of 87310 and 87330?

We will first find the prime factorization of 87310 and 87330. After we will calculate the factors of 87310 and 87330 and find the biggest common factor number .

Step-1: Prime Factorization of 87310

Prime factors of 87310 are 2, 5, 8731. Prime factorization of 87310 in exponential form is:

87310 = 2¹ × 5¹ × 8731¹

Step-2: Prime Factorization of 87330

Prime factors of 87330 are 2, 3, 5, 41, 71. Prime factorization of 87330 in exponential form is:

87330 = 2¹ × 3¹ × 5¹ × 41¹ × 71¹

Step-3: Factors of 87310

List of positive integer factors of 87310 that divides 87310 without a remainder.

1, 2, 5, 10, 8731, 17462, 43655

Step-4: Factors of 87330

List of positive integer factors of 87330 that divides 87310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 71, 82, 123, 142, 205, 213, 246, 355, 410, 426, 615, 710, 1065, 1230, 2130, 2911, 5822, 8733, 14555, 17466, 29110, 43665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87310 and 87330. The biggest common factor number is the GCF number.
So the greatest common factor 87310 and 87330 is 10.

Also check out the Least Common Multiple of 87310 and 87330