What is the Greatest Common Factor of 86310 and 86317?

Greatest common factor (GCF) of 86310 and 86317 is 7.

GCF(86310,86317) = 7

We will now calculate the prime factors of 86310 and 86317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86310 and 86317.

How to find the GCF of 86310 and 86317?

We will first find the prime factorization of 86310 and 86317. After we will calculate the factors of 86310 and 86317 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86317

Prime factors of 86317 are 7, 11, 19, 59. Prime factorization of 86317 in exponential form is:

86317 = 7¹ × 11¹ × 19¹ × 59¹

Step-3: Factors of 86310

List of positive integer factors of 86310 that divides 86310 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

Step-4: Factors of 86317

List of positive integer factors of 86317 that divides 86310 without a remainder.

1, 7, 11, 19, 59, 77, 133, 209, 413, 649, 1121, 1463, 4543, 7847, 12331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86310 and 86317. The biggest common factor number is the GCF number.
So the greatest common factor 86310 and 86317 is 7.

Also check out the Least Common Multiple of 86310 and 86317