What is the Greatest Common Factor of 99708 and 99717?

Greatest common factor (GCF) of 99708 and 99717 is 3.

GCF(99708,99717) = 3

We will now calculate the prime factors of 99708 and 99717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99708 and 99717.

How to find the GCF of 99708 and 99717?

We will first find the prime factorization of 99708 and 99717. After we will calculate the factors of 99708 and 99717 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99717

Prime factors of 99717 are 3, 43, 773. Prime factorization of 99717 in exponential form is:

99717 = 3¹ × 43¹ × 773¹

Step-3: Factors of 99708

List of positive integer factors of 99708 that divides 99708 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

Step-4: Factors of 99717

List of positive integer factors of 99717 that divides 99708 without a remainder.

1, 3, 43, 129, 773, 2319, 33239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99708 and 99717. The biggest common factor number is the GCF number.
So the greatest common factor 99708 and 99717 is 3.

Also check out the Least Common Multiple of 99708 and 99717