What is the Greatest Common Factor of 86260 and 86270?

Greatest common factor (GCF) of 86260 and 86270 is 10.

GCF(86260,86270) = 10

We will now calculate the prime factors of 86260 and 86270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86260 and 86270.

How to find the GCF of 86260 and 86270?

We will first find the prime factorization of 86260 and 86270. After we will calculate the factors of 86260 and 86270 and find the biggest common factor number .

Step-1: Prime Factorization of 86260

Prime factors of 86260 are 2, 5, 19, 227. Prime factorization of 86260 in exponential form is:

86260 = 2² × 5¹ × 19¹ × 227¹

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 86260

List of positive integer factors of 86260 that divides 86260 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 227, 380, 454, 908, 1135, 2270, 4313, 4540, 8626, 17252, 21565, 43130

Step-4: Factors of 86270

List of positive integer factors of 86270 that divides 86260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86260 and 86270. The biggest common factor number is the GCF number.
So the greatest common factor 86260 and 86270 is 10.

Also check out the Least Common Multiple of 86260 and 86270