What is the Greatest Common Factor of 99879 and 99894?

Greatest common factor (GCF) of 99879 and 99894 is 3.

GCF(99879,99894) = 3

We will now calculate the prime factors of 99879 and 99894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99879 and 99894.

How to find the GCF of 99879 and 99894?

We will first find the prime factorization of 99879 and 99894. After we will calculate the factors of 99879 and 99894 and find the biggest common factor number .

Step-1: Prime Factorization of 99879

Prime factors of 99879 are 3, 13, 197. Prime factorization of 99879 in exponential form is:

99879 = 3¹ × 13² × 197¹

Step-2: Prime Factorization of 99894

Prime factors of 99894 are 2, 3, 16649. Prime factorization of 99894 in exponential form is:

99894 = 2¹ × 3¹ × 16649¹

Step-3: Factors of 99879

List of positive integer factors of 99879 that divides 99879 without a remainder.

1, 3, 13, 39, 169, 197, 507, 591, 2561, 7683, 33293

Step-4: Factors of 99894

List of positive integer factors of 99894 that divides 99879 without a remainder.

1, 2, 3, 6, 16649, 33298, 49947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99879 and 99894. The biggest common factor number is the GCF number.
So the greatest common factor 99879 and 99894 is 3.

Also check out the Least Common Multiple of 99879 and 99894