What is the Greatest Common Factor of 98798 and 98817?

Greatest common factor (GCF) of 98798 and 98817 is 1.

GCF(98798,98817) = 1

We will now calculate the prime factors of 98798 and 98817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98798 and 98817.

How to find the GCF of 98798 and 98817?

We will first find the prime factorization of 98798 and 98817. After we will calculate the factors of 98798 and 98817 and find the biggest common factor number .

Step-1: Prime Factorization of 98798

Prime factors of 98798 are 2, 7, 7057. Prime factorization of 98798 in exponential form is:

98798 = 2¹ × 7¹ × 7057¹

Step-2: Prime Factorization of 98817

Prime factors of 98817 are 3, 32939. Prime factorization of 98817 in exponential form is:

98817 = 3¹ × 32939¹

Step-3: Factors of 98798

List of positive integer factors of 98798 that divides 98798 without a remainder.

1, 2, 7, 14, 7057, 14114, 49399

Step-4: Factors of 98817

List of positive integer factors of 98817 that divides 98798 without a remainder.

1, 3, 32939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98798 and 98817. The biggest common factor number is the GCF number.
So the greatest common factor 98798 and 98817 is 1.

Also check out the Least Common Multiple of 98798 and 98817