What is the Greatest Common Factor of 87321 and 87334?

Greatest common factor (GCF) of 87321 and 87334 is 13.

GCF(87321,87334) = 13

We will now calculate the prime factors of 87321 and 87334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87321 and 87334.

How to find the GCF of 87321 and 87334?

We will first find the prime factorization of 87321 and 87334. After we will calculate the factors of 87321 and 87334 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 87334

Prime factors of 87334 are 2, 13, 3359. Prime factorization of 87334 in exponential form is:

87334 = 2¹ × 13¹ × 3359¹

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 87334

List of positive integer factors of 87334 that divides 87321 without a remainder.

1, 2, 13, 26, 3359, 6718, 43667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87321 and 87334. The biggest common factor number is the GCF number.
So the greatest common factor 87321 and 87334 is 13.

Also check out the Least Common Multiple of 87321 and 87334