What is the Greatest Common Factor of 84898 and 84917?

Greatest common factor (GCF) of 84898 and 84917 is 1.

GCF(84898,84917) = 1

We will now calculate the prime factors of 84898 and 84917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84898 and 84917.

How to find the GCF of 84898 and 84917?

We will first find the prime factorization of 84898 and 84917. After we will calculate the factors of 84898 and 84917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84917

Prime factors of 84917 are 7, 1733. Prime factorization of 84917 in exponential form is:

84917 = 7² × 1733¹

Step-3: Factors of 84898

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

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

Step-4: Factors of 84917

List of positive integer factors of 84917 that divides 84898 without a remainder.

1, 7, 49, 1733, 12131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84898 and 84917. The biggest common factor number is the GCF number.
So the greatest common factor 84898 and 84917 is 1.

Also check out the Least Common Multiple of 84898 and 84917