What is the Greatest Common Factor of 99669 and 99678?

Greatest common factor (GCF) of 99669 and 99678 is 3.

GCF(99669,99678) = 3

We will now calculate the prime factors of 99669 and 99678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99669 and 99678.

How to find the GCF of 99669 and 99678?

We will first find the prime factorization of 99669 and 99678. After we will calculate the factors of 99669 and 99678 and find the biggest common factor number .

Step-1: Prime Factorization of 99669

Prime factors of 99669 are 3, 33223. Prime factorization of 99669 in exponential form is:

99669 = 3¹ × 33223¹

Step-2: Prime Factorization of 99678

Prime factors of 99678 are 2, 3, 37, 449. Prime factorization of 99678 in exponential form is:

99678 = 2¹ × 3¹ × 37¹ × 449¹

Step-3: Factors of 99669

List of positive integer factors of 99669 that divides 99669 without a remainder.

1, 3, 33223

Step-4: Factors of 99678

List of positive integer factors of 99678 that divides 99669 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 449, 898, 1347, 2694, 16613, 33226, 49839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99669 and 99678. The biggest common factor number is the GCF number.
So the greatest common factor 99669 and 99678 is 3.

Also check out the Least Common Multiple of 99669 and 99678