What is the Greatest Common Factor of 87321 and 87336?

Greatest common factor (GCF) of 87321 and 87336 is 3.

GCF(87321,87336) = 3

We will now calculate the prime factors of 87321 and 87336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87321 and 87336.

How to find the GCF of 87321 and 87336?

We will first find the prime factorization of 87321 and 87336. After we will calculate the factors of 87321 and 87336 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 87336

Prime factors of 87336 are 2, 3, 1213. Prime factorization of 87336 in exponential form is:

87336 = 2³ × 3² × 1213¹

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 87336

List of positive integer factors of 87336 that divides 87321 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1213, 2426, 3639, 4852, 7278, 9704, 10917, 14556, 21834, 29112, 43668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87321 and 87336. The biggest common factor number is the GCF number.
So the greatest common factor 87321 and 87336 is 3.

Also check out the Least Common Multiple of 87321 and 87336