What is the Greatest Common Factor of 99788 and 99807?

Greatest common factor (GCF) of 99788 and 99807 is 19.

GCF(99788,99807) = 19

We will now calculate the prime factors of 99788 and 99807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99788 and 99807.

How to find the GCF of 99788 and 99807?

We will first find the prime factorization of 99788 and 99807. After we will calculate the factors of 99788 and 99807 and find the biggest common factor number .

Step-1: Prime Factorization of 99788

Prime factors of 99788 are 2, 13, 19, 101. Prime factorization of 99788 in exponential form is:

99788 = 2² × 13¹ × 19¹ × 101¹

Step-2: 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-3: Factors of 99788

List of positive integer factors of 99788 that divides 99788 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 101, 202, 247, 404, 494, 988, 1313, 1919, 2626, 3838, 5252, 7676, 24947, 49894

Step-4: Factors of 99807

List of positive integer factors of 99807 that divides 99788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99788 and 99807. The biggest common factor number is the GCF number.
So the greatest common factor 99788 and 99807 is 19.

Also check out the Least Common Multiple of 99788 and 99807