What is the Greatest Common Factor of 87321 and 87340?

Greatest common factor (GCF) of 87321 and 87340 is 1.

GCF(87321,87340) = 1

We will now calculate the prime factors of 87321 and 87340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87321 and 87340.

How to find the GCF of 87321 and 87340?

We will first find the prime factorization of 87321 and 87340. After we will calculate the factors of 87321 and 87340 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 87340

Prime factors of 87340 are 2, 5, 11, 397. Prime factorization of 87340 in exponential form is:

87340 = 2² × 5¹ × 11¹ × 397¹

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 87340

List of positive integer factors of 87340 that divides 87321 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 397, 794, 1588, 1985, 3970, 4367, 7940, 8734, 17468, 21835, 43670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87321 and 87340. The biggest common factor number is the GCF number.
So the greatest common factor 87321 and 87340 is 1.

Also check out the Least Common Multiple of 87321 and 87340