What is the Greatest Common Factor of 87314 and 87321?

Greatest common factor (GCF) of 87314 and 87321 is 1.

GCF(87314,87321) = 1

We will now calculate the prime factors of 87314 and 87321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87314 and 87321.

How to find the GCF of 87314 and 87321?

We will first find the prime factorization of 87314 and 87321. After we will calculate the factors of 87314 and 87321 and find the biggest common factor number .

Step-1: Prime Factorization of 87314

Prime factors of 87314 are 2, 149, 293. Prime factorization of 87314 in exponential form is:

87314 = 2¹ × 149¹ × 293¹

Step-2: 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-3: Factors of 87314

List of positive integer factors of 87314 that divides 87314 without a remainder.

1, 2, 149, 293, 298, 586, 43657

Step-4: Factors of 87321

List of positive integer factors of 87321 that divides 87314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87314 and 87321. The biggest common factor number is the GCF number.
So the greatest common factor 87314 and 87321 is 1.

Also check out the Least Common Multiple of 87314 and 87321