What is the Greatest Common Factor of 86358 and 86375?

Greatest common factor (GCF) of 86358 and 86375 is 1.

GCF(86358,86375) = 1

We will now calculate the prime factors of 86358 and 86375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86358 and 86375.

How to find the GCF of 86358 and 86375?

We will first find the prime factorization of 86358 and 86375. After we will calculate the factors of 86358 and 86375 and find the biggest common factor number .

Step-1: Prime Factorization of 86358

Prime factors of 86358 are 2, 3, 37, 389. Prime factorization of 86358 in exponential form is:

86358 = 2¹ × 3¹ × 37¹ × 389¹

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 86358

List of positive integer factors of 86358 that divides 86358 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 389, 778, 1167, 2334, 14393, 28786, 43179

Step-4: Factors of 86375

List of positive integer factors of 86375 that divides 86358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86358 and 86375. The biggest common factor number is the GCF number.
So the greatest common factor 86358 and 86375 is 1.

Also check out the Least Common Multiple of 86358 and 86375