What is the Greatest Common Factor of 98802 and 98817?

Greatest common factor (GCF) of 98802 and 98817 is 3.

GCF(98802,98817) = 3

We will now calculate the prime factors of 98802 and 98817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98802 and 98817.

How to find the GCF of 98802 and 98817?

We will first find the prime factorization of 98802 and 98817. After we will calculate the factors of 98802 and 98817 and find the biggest common factor number .

Step-1: Prime Factorization of 98802

Prime factors of 98802 are 2, 3, 11, 499. Prime factorization of 98802 in exponential form is:

98802 = 2¹ × 3² × 11¹ × 499¹

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 98802

List of positive integer factors of 98802 that divides 98802 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 499, 998, 1497, 2994, 4491, 5489, 8982, 10978, 16467, 32934, 49401

Step-4: Factors of 98817

List of positive integer factors of 98817 that divides 98802 without a remainder.

1, 3, 32939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98802 and 98817. The biggest common factor number is the GCF number.
So the greatest common factor 98802 and 98817 is 3.

Also check out the Least Common Multiple of 98802 and 98817