What is the Greatest Common Factor of 98798 and 98805?

Greatest common factor (GCF) of 98798 and 98805 is 7.

GCF(98798,98805) = 7

We will now calculate the prime factors of 98798 and 98805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98798 and 98805.

How to find the GCF of 98798 and 98805?

We will first find the prime factorization of 98798 and 98805. After we will calculate the factors of 98798 and 98805 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 98805

Prime factors of 98805 are 3, 5, 7, 941. Prime factorization of 98805 in exponential form is:

98805 = 3¹ × 5¹ × 7¹ × 941¹

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 98805

List of positive integer factors of 98805 that divides 98798 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 941, 2823, 4705, 6587, 14115, 19761, 32935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98798 and 98805. The biggest common factor number is the GCF number.
So the greatest common factor 98798 and 98805 is 7.

Also check out the Least Common Multiple of 98798 and 98805