What is the Greatest Common Factor of 86009 and 86020?

Greatest common factor (GCF) of 86009 and 86020 is 11.

GCF(86009,86020) = 11

We will now calculate the prime factors of 86009 and 86020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86009 and 86020.

How to find the GCF of 86009 and 86020?

We will first find the prime factorization of 86009 and 86020. After we will calculate the factors of 86009 and 86020 and find the biggest common factor number .

Step-1: Prime Factorization of 86009

Prime factors of 86009 are 7, 11, 1117. Prime factorization of 86009 in exponential form is:

86009 = 7¹ × 11¹ × 1117¹

Step-2: Prime Factorization of 86020

Prime factors of 86020 are 2, 5, 11, 17, 23. Prime factorization of 86020 in exponential form is:

86020 = 2² × 5¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 86009

List of positive integer factors of 86009 that divides 86009 without a remainder.

1, 7, 11, 77, 1117, 7819, 12287

Step-4: Factors of 86020

List of positive integer factors of 86020 that divides 86009 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 23, 34, 44, 46, 55, 68, 85, 92, 110, 115, 170, 187, 220, 230, 253, 340, 374, 391, 460, 506, 748, 782, 935, 1012, 1265, 1564, 1870, 1955, 2530, 3740, 3910, 4301, 5060, 7820, 8602, 17204, 21505, 43010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86009 and 86020. The biggest common factor number is the GCF number.
So the greatest common factor 86009 and 86020 is 11.

Also check out the Least Common Multiple of 86009 and 86020