What is the Greatest Common Factor of 90849 and 90855?

Greatest common factor (GCF) of 90849 and 90855 is 3.

GCF(90849,90855) = 3

We will now calculate the prime factors of 90849 and 90855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90849 and 90855.

How to find the GCF of 90849 and 90855?

We will first find the prime factorization of 90849 and 90855. After we will calculate the factors of 90849 and 90855 and find the biggest common factor number .

Step-1: Prime Factorization of 90849

Prime factors of 90849 are 3, 11, 2753. Prime factorization of 90849 in exponential form is:

90849 = 3¹ × 11¹ × 2753¹

Step-2: 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-3: Factors of 90849

List of positive integer factors of 90849 that divides 90849 without a remainder.

1, 3, 11, 33, 2753, 8259, 30283

Step-4: Factors of 90855

List of positive integer factors of 90855 that divides 90849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90849 and 90855. The biggest common factor number is the GCF number.
So the greatest common factor 90849 and 90855 is 3.

Also check out the Least Common Multiple of 90849 and 90855