What is the Greatest Common Factor of 86359 and 86375?

Greatest common factor (GCF) of 86359 and 86375 is 1.

GCF(86359,86375) = 1

We will now calculate the prime factors of 86359 and 86375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86359 and 86375.

How to find the GCF of 86359 and 86375?

We will first find the prime factorization of 86359 and 86375. After we will calculate the factors of 86359 and 86375 and find the biggest common factor number .

Step-1: Prime Factorization of 86359

Prime factors of 86359 are 7, 13, 73. Prime factorization of 86359 in exponential form is:

86359 = 7¹ × 13² × 73¹

Step-2: Prime Factorization of 86375

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

86375 = 5³ × 691¹

Step-3: Factors of 86359

List of positive integer factors of 86359 that divides 86359 without a remainder.

1, 7, 13, 73, 91, 169, 511, 949, 1183, 6643, 12337

Step-4: Factors of 86375

List of positive integer factors of 86375 that divides 86359 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86359 and 86375. The biggest common factor number is the GCF number.
So the greatest common factor 86359 and 86375 is 1.

Also check out the Least Common Multiple of 86359 and 86375