What is the Greatest Common Factor of 86275 and 86289?

Greatest common factor (GCF) of 86275 and 86289 is 7.

GCF(86275,86289) = 7

We will now calculate the prime factors of 86275 and 86289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86275 and 86289.

How to find the GCF of 86275 and 86289?

We will first find the prime factorization of 86275 and 86289. After we will calculate the factors of 86275 and 86289 and find the biggest common factor number .

Step-1: Prime Factorization of 86275

Prime factors of 86275 are 5, 7, 17, 29. Prime factorization of 86275 in exponential form is:

86275 = 5² × 7¹ × 17¹ × 29¹

Step-2: 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-3: Factors of 86275

List of positive integer factors of 86275 that divides 86275 without a remainder.

1, 5, 7, 17, 25, 29, 35, 85, 119, 145, 175, 203, 425, 493, 595, 725, 1015, 2465, 2975, 3451, 5075, 12325, 17255

Step-4: Factors of 86289

List of positive integer factors of 86289 that divides 86275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86275 and 86289. The biggest common factor number is the GCF number.
So the greatest common factor 86275 and 86289 is 7.

Also check out the Least Common Multiple of 86275 and 86289