What is the Greatest Common Factor of 99807 and 99813?

Greatest common factor (GCF) of 99807 and 99813 is 3.

GCF(99807,99813) = 3

We will now calculate the prime factors of 99807 and 99813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99807 and 99813.

How to find the GCF of 99807 and 99813?

We will first find the prime factorization of 99807 and 99813. After we will calculate the factors of 99807 and 99813 and find the biggest common factor number .

Step-1: Prime Factorization of 99807

Prime factors of 99807 are 3, 17, 19, 103. Prime factorization of 99807 in exponential form is:

99807 = 3¹ × 17¹ × 19¹ × 103¹

Step-2: Prime Factorization of 99813

Prime factors of 99813 are 3, 7, 97. Prime factorization of 99813 in exponential form is:

99813 = 3¹ × 7³ × 97¹

Step-3: Factors of 99807

List of positive integer factors of 99807 that divides 99807 without a remainder.

1, 3, 17, 19, 51, 57, 103, 309, 323, 969, 1751, 1957, 5253, 5871, 33269

Step-4: Factors of 99813

List of positive integer factors of 99813 that divides 99807 without a remainder.

1, 3, 7, 21, 49, 97, 147, 291, 343, 679, 1029, 2037, 4753, 14259, 33271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99807 and 99813. The biggest common factor number is the GCF number.
So the greatest common factor 99807 and 99813 is 3.

Also check out the Least Common Multiple of 99807 and 99813