What is the Greatest Common Factor of 86355 and 86370?

Greatest common factor (GCF) of 86355 and 86370 is 15.

GCF(86355,86370) = 15

We will now calculate the prime factors of 86355 and 86370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86355 and 86370.

How to find the GCF of 86355 and 86370?

We will first find the prime factorization of 86355 and 86370. After we will calculate the factors of 86355 and 86370 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 86370

Prime factors of 86370 are 2, 3, 5, 2879. Prime factorization of 86370 in exponential form is:

86370 = 2¹ × 3¹ × 5¹ × 2879¹

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 86370

List of positive integer factors of 86370 that divides 86355 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2879, 5758, 8637, 14395, 17274, 28790, 43185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86355 and 86370. The biggest common factor number is the GCF number.
So the greatest common factor 86355 and 86370 is 15.

Also check out the Least Common Multiple of 86355 and 86370