What is the Greatest Common Factor of 86305 and 86310?

Greatest common factor (GCF) of 86305 and 86310 is 5.

GCF(86305,86310) = 5

We will now calculate the prime factors of 86305 and 86310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86305 and 86310.

How to find the GCF of 86305 and 86310?

We will first find the prime factorization of 86305 and 86310. After we will calculate the factors of 86305 and 86310 and find the biggest common factor number .

Step-1: Prime Factorization of 86305

Prime factors of 86305 are 5, 41, 421. Prime factorization of 86305 in exponential form is:

86305 = 5¹ × 41¹ × 421¹

Step-2: Prime Factorization of 86310

Prime factors of 86310 are 2, 3, 5, 7, 137. Prime factorization of 86310 in exponential form is:

86310 = 2¹ × 3² × 5¹ × 7¹ × 137¹

Step-3: Factors of 86305

List of positive integer factors of 86305 that divides 86305 without a remainder.

1, 5, 41, 205, 421, 2105, 17261

Step-4: Factors of 86310

List of positive integer factors of 86310 that divides 86305 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 137, 210, 274, 315, 411, 630, 685, 822, 959, 1233, 1370, 1918, 2055, 2466, 2877, 4110, 4795, 5754, 6165, 8631, 9590, 12330, 14385, 17262, 28770, 43155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86305 and 86310. The biggest common factor number is the GCF number.
So the greatest common factor 86305 and 86310 is 5.

Also check out the Least Common Multiple of 86305 and 86310