What is the Greatest Common Factor of 86265 and 86270?

Greatest common factor (GCF) of 86265 and 86270 is 5.

GCF(86265,86270) = 5

We will now calculate the prime factors of 86265 and 86270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86265 and 86270.

How to find the GCF of 86265 and 86270?

We will first find the prime factorization of 86265 and 86270. After we will calculate the factors of 86265 and 86270 and find the biggest common factor number .

Step-1: Prime Factorization of 86265

Prime factors of 86265 are 3, 5, 71. Prime factorization of 86265 in exponential form is:

86265 = 3⁵ × 5¹ × 71¹

Step-2: Prime Factorization of 86270

Prime factors of 86270 are 2, 5, 8627. Prime factorization of 86270 in exponential form is:

86270 = 2¹ × 5¹ × 8627¹

Step-3: Factors of 86265

List of positive integer factors of 86265 that divides 86265 without a remainder.

1, 3, 5, 9, 15, 27, 45, 71, 81, 135, 213, 243, 355, 405, 639, 1065, 1215, 1917, 3195, 5751, 9585, 17253, 28755

Step-4: Factors of 86270

List of positive integer factors of 86270 that divides 86265 without a remainder.

1, 2, 5, 10, 8627, 17254, 43135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86265 and 86270. The biggest common factor number is the GCF number.
So the greatest common factor 86265 and 86270 is 5.

Also check out the Least Common Multiple of 86265 and 86270