What is the Greatest Common Factor of 86085 and 86090?

Greatest common factor (GCF) of 86085 and 86090 is 5.

GCF(86085,86090) = 5

We will now calculate the prime factors of 86085 and 86090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86085 and 86090.

How to find the GCF of 86085 and 86090?

We will first find the prime factorization of 86085 and 86090. After we will calculate the factors of 86085 and 86090 and find the biggest common factor number .

Step-1: Prime Factorization of 86085

Prime factors of 86085 are 3, 5, 1913. Prime factorization of 86085 in exponential form is:

86085 = 3² × 5¹ × 1913¹

Step-2: Prime Factorization of 86090

Prime factors of 86090 are 2, 5, 8609. Prime factorization of 86090 in exponential form is:

86090 = 2¹ × 5¹ × 8609¹

Step-3: Factors of 86085

List of positive integer factors of 86085 that divides 86085 without a remainder.

1, 3, 5, 9, 15, 45, 1913, 5739, 9565, 17217, 28695

Step-4: Factors of 86090

List of positive integer factors of 86090 that divides 86085 without a remainder.

1, 2, 5, 10, 8609, 17218, 43045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86085 and 86090. The biggest common factor number is the GCF number.
So the greatest common factor 86085 and 86090 is 5.

Also check out the Least Common Multiple of 86085 and 86090