What is the Greatest Common Factor of 99801 and 99814?

Greatest common factor (GCF) of 99801 and 99814 is 13.

GCF(99801,99814) = 13

We will now calculate the prime factors of 99801 and 99814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99801 and 99814.

How to find the GCF of 99801 and 99814?

We will first find the prime factorization of 99801 and 99814. After we will calculate the factors of 99801 and 99814 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99814

Prime factors of 99814 are 2, 11, 13, 349. Prime factorization of 99814 in exponential form is:

99814 = 2¹ × 11¹ × 13¹ × 349¹

Step-3: Factors of 99801

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

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

Step-4: Factors of 99814

List of positive integer factors of 99814 that divides 99801 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 349, 698, 3839, 4537, 7678, 9074, 49907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99801 and 99814. The biggest common factor number is the GCF number.
So the greatest common factor 99801 and 99814 is 13.

Also check out the Least Common Multiple of 99801 and 99814