What is the Greatest Common Factor of 87321 and 87330?

Greatest common factor (GCF) of 87321 and 87330 is 3.

GCF(87321,87330) = 3

We will now calculate the prime factors of 87321 and 87330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87321 and 87330.

How to find the GCF of 87321 and 87330?

We will first find the prime factorization of 87321 and 87330. After we will calculate the factors of 87321 and 87330 and find the biggest common factor number .

Step-1: Prime Factorization of 87321

Prime factors of 87321 are 3, 13, 2239. Prime factorization of 87321 in exponential form is:

87321 = 3¹ × 13¹ × 2239¹

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 87321

List of positive integer factors of 87321 that divides 87321 without a remainder.

1, 3, 13, 39, 2239, 6717, 29107

Step-4: Factors of 87330

List of positive integer factors of 87330 that divides 87321 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 87321 and 87330. The biggest common factor number is the GCF number.
So the greatest common factor 87321 and 87330 is 3.

Also check out the Least Common Multiple of 87321 and 87330