What is the Greatest Common Factor of 99849 and 99858?

Greatest common factor (GCF) of 99849 and 99858 is 3.

GCF(99849,99858) = 3

We will now calculate the prime factors of 99849 and 99858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99849 and 99858.

How to find the GCF of 99849 and 99858?

We will first find the prime factorization of 99849 and 99858. After we will calculate the factors of 99849 and 99858 and find the biggest common factor number .

Step-1: Prime Factorization of 99849

Prime factors of 99849 are 3, 83, 401. Prime factorization of 99849 in exponential form is:

99849 = 3¹ × 83¹ × 401¹

Step-2: Prime Factorization of 99858

Prime factors of 99858 are 2, 3, 11, 17, 89. Prime factorization of 99858 in exponential form is:

99858 = 2¹ × 3¹ × 11¹ × 17¹ × 89¹

Step-3: Factors of 99849

List of positive integer factors of 99849 that divides 99849 without a remainder.

1, 3, 83, 249, 401, 1203, 33283

Step-4: Factors of 99858

List of positive integer factors of 99858 that divides 99849 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 89, 102, 178, 187, 267, 374, 534, 561, 979, 1122, 1513, 1958, 2937, 3026, 4539, 5874, 9078, 16643, 33286, 49929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99849 and 99858. The biggest common factor number is the GCF number.
So the greatest common factor 99849 and 99858 is 3.

Also check out the Least Common Multiple of 99849 and 99858