What is the Greatest Common Factor of 86289 and 86307?

Greatest common factor (GCF) of 86289 and 86307 is 3.

GCF(86289,86307) = 3

We will now calculate the prime factors of 86289 and 86307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86289 and 86307.

How to find the GCF of 86289 and 86307?

We will first find the prime factorization of 86289 and 86307. After we will calculate the factors of 86289 and 86307 and find the biggest common factor number .

Step-1: Prime Factorization of 86289

Prime factors of 86289 are 3, 7, 587. Prime factorization of 86289 in exponential form is:

86289 = 3¹ × 7² × 587¹

Step-2: Prime Factorization of 86307

Prime factors of 86307 are 3, 13, 2213. Prime factorization of 86307 in exponential form is:

86307 = 3¹ × 13¹ × 2213¹

Step-3: Factors of 86289

List of positive integer factors of 86289 that divides 86289 without a remainder.

1, 3, 7, 21, 49, 147, 587, 1761, 4109, 12327, 28763

Step-4: Factors of 86307

List of positive integer factors of 86307 that divides 86289 without a remainder.

1, 3, 13, 39, 2213, 6639, 28769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86289 and 86307. The biggest common factor number is the GCF number.
So the greatest common factor 86289 and 86307 is 3.

Also check out the Least Common Multiple of 86289 and 86307