What is the Greatest Common Factor of 86375 and 86385?

Greatest common factor (GCF) of 86375 and 86385 is 5.

GCF(86375,86385) = 5

We will now calculate the prime factors of 86375 and 86385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86375 and 86385.

How to find the GCF of 86375 and 86385?

We will first find the prime factorization of 86375 and 86385. After we will calculate the factors of 86375 and 86385 and find the biggest common factor number .

Step-1: Prime Factorization of 86375

Prime factors of 86375 are 5, 691. Prime factorization of 86375 in exponential form is:

86375 = 5³ × 691¹

Step-2: Prime Factorization of 86385

Prime factors of 86385 are 3, 5, 13, 443. Prime factorization of 86385 in exponential form is:

86385 = 3¹ × 5¹ × 13¹ × 443¹

Step-3: Factors of 86375

List of positive integer factors of 86375 that divides 86375 without a remainder.

1, 5, 25, 125, 691, 3455, 17275

Step-4: Factors of 86385

List of positive integer factors of 86385 that divides 86375 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 443, 1329, 2215, 5759, 6645, 17277, 28795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86375 and 86385. The biggest common factor number is the GCF number.
So the greatest common factor 86375 and 86385 is 5.

Also check out the Least Common Multiple of 86375 and 86385