What is the Greatest Common Factor of 99699 and 99708?

Greatest common factor (GCF) of 99699 and 99708 is 3.

GCF(99699,99708) = 3

We will now calculate the prime factors of 99699 and 99708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99699 and 99708.

How to find the GCF of 99699 and 99708?

We will first find the prime factorization of 99699 and 99708. After we will calculate the factors of 99699 and 99708 and find the biggest common factor number .

Step-1: Prime Factorization of 99699

Prime factors of 99699 are 3, 167, 199. Prime factorization of 99699 in exponential form is:

99699 = 3¹ × 167¹ × 199¹

Step-2: Prime Factorization of 99708

Prime factors of 99708 are 2, 3, 7, 1187. Prime factorization of 99708 in exponential form is:

99708 = 2² × 3¹ × 7¹ × 1187¹

Step-3: Factors of 99699

List of positive integer factors of 99699 that divides 99699 without a remainder.

1, 3, 167, 199, 501, 597, 33233

Step-4: Factors of 99708

List of positive integer factors of 99708 that divides 99699 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1187, 2374, 3561, 4748, 7122, 8309, 14244, 16618, 24927, 33236, 49854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99699 and 99708. The biggest common factor number is the GCF number.
So the greatest common factor 99699 and 99708 is 3.

Also check out the Least Common Multiple of 99699 and 99708