What is the Greatest Common Factor of 99788 and 99801?

Greatest common factor (GCF) of 99788 and 99801 is 13.

GCF(99788,99801) = 13

We will now calculate the prime factors of 99788 and 99801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99788 and 99801.

How to find the GCF of 99788 and 99801?

We will first find the prime factorization of 99788 and 99801. After we will calculate the factors of 99788 and 99801 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 99801

Prime factors of 99801 are 3, 13, 853. Prime factorization of 99801 in exponential form is:

99801 = 3² × 13¹ × 853¹

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 99801

List of positive integer factors of 99801 that divides 99788 without a remainder.

1, 3, 9, 13, 39, 117, 853, 2559, 7677, 11089, 33267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99788 and 99801. The biggest common factor number is the GCF number.
So the greatest common factor 99788 and 99801 is 13.

Also check out the Least Common Multiple of 99788 and 99801