What is the Greatest Common Factor of 84891 and 84909?

Greatest common factor (GCF) of 84891 and 84909 is 3.

GCF(84891,84909) = 3

We will now calculate the prime factors of 84891 and 84909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84891 and 84909.

How to find the GCF of 84891 and 84909?

We will first find the prime factorization of 84891 and 84909. After we will calculate the factors of 84891 and 84909 and find the biggest common factor number .

Step-1: Prime Factorization of 84891

Prime factors of 84891 are 3, 28297. Prime factorization of 84891 in exponential form is:

84891 = 3¹ × 28297¹

Step-2: Prime Factorization of 84909

Prime factors of 84909 are 3, 11, 31, 83. Prime factorization of 84909 in exponential form is:

84909 = 3¹ × 11¹ × 31¹ × 83¹

Step-3: Factors of 84891

List of positive integer factors of 84891 that divides 84891 without a remainder.

1, 3, 28297

Step-4: Factors of 84909

List of positive integer factors of 84909 that divides 84891 without a remainder.

1, 3, 11, 31, 33, 83, 93, 249, 341, 913, 1023, 2573, 2739, 7719, 28303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84891 and 84909. The biggest common factor number is the GCF number.
So the greatest common factor 84891 and 84909 is 3.

Also check out the Least Common Multiple of 84891 and 84909