What is the Greatest Common Factor of 84849 and 84855?

Greatest common factor (GCF) of 84849 and 84855 is 3.

GCF(84849,84855) = 3

We will now calculate the prime factors of 84849 and 84855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84849 and 84855.

How to find the GCF of 84849 and 84855?

We will first find the prime factorization of 84849 and 84855. After we will calculate the factors of 84849 and 84855 and find the biggest common factor number .

Step-1: Prime Factorization of 84849

Prime factors of 84849 are 3, 28283. Prime factorization of 84849 in exponential form is:

84849 = 3¹ × 28283¹

Step-2: Prime Factorization of 84855

Prime factors of 84855 are 3, 5, 5657. Prime factorization of 84855 in exponential form is:

84855 = 3¹ × 5¹ × 5657¹

Step-3: Factors of 84849

List of positive integer factors of 84849 that divides 84849 without a remainder.

1, 3, 28283

Step-4: Factors of 84855

List of positive integer factors of 84855 that divides 84849 without a remainder.

1, 3, 5, 15, 5657, 16971, 28285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84849 and 84855. The biggest common factor number is the GCF number.
So the greatest common factor 84849 and 84855 is 3.

Also check out the Least Common Multiple of 84849 and 84855