What is the Greatest Common Factor of 87309 and 87314?

Greatest common factor (GCF) of 87309 and 87314 is 1.

GCF(87309,87314) = 1

We will now calculate the prime factors of 87309 and 87314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87309 and 87314.

How to find the GCF of 87309 and 87314?

We will first find the prime factorization of 87309 and 87314. After we will calculate the factors of 87309 and 87314 and find the biggest common factor number .

Step-1: Prime Factorization of 87309

Prime factors of 87309 are 3, 89, 109. Prime factorization of 87309 in exponential form is:

87309 = 3² × 89¹ × 109¹

Step-2: 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-3: Factors of 87309

List of positive integer factors of 87309 that divides 87309 without a remainder.

1, 3, 9, 89, 109, 267, 327, 801, 981, 9701, 29103

Step-4: Factors of 87314

List of positive integer factors of 87314 that divides 87309 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87309 and 87314. The biggest common factor number is the GCF number.
So the greatest common factor 87309 and 87314 is 1.

Also check out the Least Common Multiple of 87309 and 87314