What is the Greatest Common Factor of 86355 and 86363?

Greatest common factor (GCF) of 86355 and 86363 is 1.

GCF(86355,86363) = 1

We will now calculate the prime factors of 86355 and 86363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86355 and 86363.

How to find the GCF of 86355 and 86363?

We will first find the prime factorization of 86355 and 86363. After we will calculate the factors of 86355 and 86363 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 86363

Prime factors of 86363 are 67, 1289. Prime factorization of 86363 in exponential form is:

86363 = 67¹ × 1289¹

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 86363

List of positive integer factors of 86363 that divides 86355 without a remainder.

1, 67, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86355 and 86363. The biggest common factor number is the GCF number.
So the greatest common factor 86355 and 86363 is 1.

Also check out the Least Common Multiple of 86355 and 86363