What is the Greatest Common Factor of 84876 and 84887?

Greatest common factor (GCF) of 84876 and 84887 is 11.

GCF(84876,84887) = 11

We will now calculate the prime factors of 84876 and 84887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84876 and 84887.

How to find the GCF of 84876 and 84887?

We will first find the prime factorization of 84876 and 84887. After we will calculate the factors of 84876 and 84887 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 84887

Prime factors of 84887 are 11, 7717. Prime factorization of 84887 in exponential form is:

84887 = 11¹ × 7717¹

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 84887

List of positive integer factors of 84887 that divides 84876 without a remainder.

1, 11, 7717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84876 and 84887. The biggest common factor number is the GCF number.
So the greatest common factor 84876 and 84887 is 11.

Also check out the Least Common Multiple of 84876 and 84887