What is the Greatest Common Factor of 84876 and 84894?

Greatest common factor (GCF) of 84876 and 84894 is 6.

GCF(84876,84894) = 6

We will now calculate the prime factors of 84876 and 84894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84876 and 84894.

How to find the GCF of 84876 and 84894?

We will first find the prime factorization of 84876 and 84894. After we will calculate the factors of 84876 and 84894 and find the biggest common factor number .

Step-1: Prime Factorization of 84876

Prime factors of 84876 are 2, 3, 11, 643. Prime factorization of 84876 in exponential form is:

84876 = 2² × 3¹ × 11¹ × 643¹

Step-2: Prime Factorization of 84894

Prime factors of 84894 are 2, 3, 14149. Prime factorization of 84894 in exponential form is:

84894 = 2¹ × 3¹ × 14149¹

Step-3: Factors of 84876

List of positive integer factors of 84876 that divides 84876 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 643, 1286, 1929, 2572, 3858, 7073, 7716, 14146, 21219, 28292, 42438

Step-4: Factors of 84894

List of positive integer factors of 84894 that divides 84876 without a remainder.

1, 2, 3, 6, 14149, 28298, 42447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84876 and 84894. The biggest common factor number is the GCF number.
So the greatest common factor 84876 and 84894 is 6.

Also check out the Least Common Multiple of 84876 and 84894