What is the Greatest Common Factor of 86355 and 86365?

Greatest common factor (GCF) of 86355 and 86365 is 5.

GCF(86355,86365) = 5

We will now calculate the prime factors of 86355 and 86365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86355 and 86365.

How to find the GCF of 86355 and 86365?

We will first find the prime factorization of 86355 and 86365. After we will calculate the factors of 86355 and 86365 and find the biggest common factor number .

Step-1: Prime Factorization of 86355

Prime factors of 86355 are 3, 5, 19, 101. Prime factorization of 86355 in exponential form is:

86355 = 3² × 5¹ × 19¹ × 101¹

Step-2: Prime Factorization of 86365

Prime factors of 86365 are 5, 23, 751. Prime factorization of 86365 in exponential form is:

86365 = 5¹ × 23¹ × 751¹

Step-3: Factors of 86355

List of positive integer factors of 86355 that divides 86355 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 101, 171, 285, 303, 505, 855, 909, 1515, 1919, 4545, 5757, 9595, 17271, 28785

Step-4: Factors of 86365

List of positive integer factors of 86365 that divides 86355 without a remainder.

1, 5, 23, 115, 751, 3755, 17273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86355 and 86365. The biggest common factor number is the GCF number.
So the greatest common factor 86355 and 86365 is 5.

Also check out the Least Common Multiple of 86355 and 86365