What is the Greatest Common Factor of 99799 and 99816?

Greatest common factor (GCF) of 99799 and 99816 is 1.

GCF(99799,99816) = 1

We will now calculate the prime factors of 99799 and 99816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99799 and 99816.

How to find the GCF of 99799 and 99816?

We will first find the prime factorization of 99799 and 99816. After we will calculate the factors of 99799 and 99816 and find the biggest common factor number .

Step-1: Prime Factorization of 99799

Prime factors of 99799 are 7, 53, 269. Prime factorization of 99799 in exponential form is:

99799 = 7¹ × 53¹ × 269¹

Step-2: Prime Factorization of 99816

Prime factors of 99816 are 2, 3, 4159. Prime factorization of 99816 in exponential form is:

99816 = 2³ × 3¹ × 4159¹

Step-3: Factors of 99799

List of positive integer factors of 99799 that divides 99799 without a remainder.

1, 7, 53, 269, 371, 1883, 14257

Step-4: Factors of 99816

List of positive integer factors of 99816 that divides 99799 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4159, 8318, 12477, 16636, 24954, 33272, 49908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99799 and 99816. The biggest common factor number is the GCF number.
So the greatest common factor 99799 and 99816 is 1.

Also check out the Least Common Multiple of 99799 and 99816