What is the Greatest Common Factor of 86355 and 86361?

Greatest common factor (GCF) of 86355 and 86361 is 3.

GCF(86355,86361) = 3

We will now calculate the prime factors of 86355 and 86361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86355 and 86361.

How to find the GCF of 86355 and 86361?

We will first find the prime factorization of 86355 and 86361. After we will calculate the factors of 86355 and 86361 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 86361

Prime factors of 86361 are 3, 11, 2617. Prime factorization of 86361 in exponential form is:

86361 = 3¹ × 11¹ × 2617¹

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 86361

List of positive integer factors of 86361 that divides 86355 without a remainder.

1, 3, 11, 33, 2617, 7851, 28787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86355 and 86361. The biggest common factor number is the GCF number.
So the greatest common factor 86355 and 86361 is 3.

Also check out the Least Common Multiple of 86355 and 86361