What is the Greatest Common Factor of 87339 and 87347?

Greatest common factor (GCF) of 87339 and 87347 is 1.

GCF(87339,87347) = 1

We will now calculate the prime factors of 87339 and 87347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87339 and 87347.

How to find the GCF of 87339 and 87347?

We will first find the prime factorization of 87339 and 87347. After we will calculate the factors of 87339 and 87347 and find the biggest common factor number .

Step-1: Prime Factorization of 87339

Prime factors of 87339 are 3, 7, 4159. Prime factorization of 87339 in exponential form is:

87339 = 3¹ × 7¹ × 4159¹

Step-2: Prime Factorization of 87347

Prime factors of 87347 are 13, 6719. Prime factorization of 87347 in exponential form is:

87347 = 13¹ × 6719¹

Step-3: Factors of 87339

List of positive integer factors of 87339 that divides 87339 without a remainder.

1, 3, 7, 21, 4159, 12477, 29113

Step-4: Factors of 87347

List of positive integer factors of 87347 that divides 87339 without a remainder.

1, 13, 6719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87339 and 87347. The biggest common factor number is the GCF number.
So the greatest common factor 87339 and 87347 is 1.

Also check out the Least Common Multiple of 87339 and 87347