What is the Greatest Common Factor of 90855 and 90865?

Greatest common factor (GCF) of 90855 and 90865 is 5.

GCF(90855,90865) = 5

We will now calculate the prime factors of 90855 and 90865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90855 and 90865.

How to find the GCF of 90855 and 90865?

We will first find the prime factorization of 90855 and 90865. After we will calculate the factors of 90855 and 90865 and find the biggest common factor number .

Step-1: Prime Factorization of 90855

Prime factors of 90855 are 3, 5, 673. Prime factorization of 90855 in exponential form is:

90855 = 3³ × 5¹ × 673¹

Step-2: Prime Factorization of 90865

Prime factors of 90865 are 5, 17, 1069. Prime factorization of 90865 in exponential form is:

90865 = 5¹ × 17¹ × 1069¹

Step-3: Factors of 90855

List of positive integer factors of 90855 that divides 90855 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 673, 2019, 3365, 6057, 10095, 18171, 30285

Step-4: Factors of 90865

List of positive integer factors of 90865 that divides 90855 without a remainder.

1, 5, 17, 85, 1069, 5345, 18173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90855 and 90865. The biggest common factor number is the GCF number.
So the greatest common factor 90855 and 90865 is 5.

Also check out the Least Common Multiple of 90855 and 90865