What is the Greatest Common Factor of 84887 and 84898?

Greatest common factor (GCF) of 84887 and 84898 is 11.

GCF(84887,84898) = 11

We will now calculate the prime factors of 84887 and 84898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84887 and 84898.

How to find the GCF of 84887 and 84898?

We will first find the prime factorization of 84887 and 84898. After we will calculate the factors of 84887 and 84898 and find the biggest common factor number .

Step-1: Prime Factorization of 84887

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

84887 = 11¹ × 7717¹

Step-2: Prime Factorization of 84898

Prime factors of 84898 are 2, 11, 17, 227. Prime factorization of 84898 in exponential form is:

84898 = 2¹ × 11¹ × 17¹ × 227¹

Step-3: Factors of 84887

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

1, 11, 7717

Step-4: Factors of 84898

List of positive integer factors of 84898 that divides 84887 without a remainder.

1, 2, 11, 17, 22, 34, 187, 227, 374, 454, 2497, 3859, 4994, 7718, 42449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84887 and 84898. The biggest common factor number is the GCF number.
So the greatest common factor 84887 and 84898 is 11.

Also check out the Least Common Multiple of 84887 and 84898