What is the Greatest Common Factor of 99666 and 99681?

Greatest common factor (GCF) of 99666 and 99681 is 3.

GCF(99666,99681) = 3

We will now calculate the prime factors of 99666 and 99681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99666 and 99681.

How to find the GCF of 99666 and 99681?

We will first find the prime factorization of 99666 and 99681. After we will calculate the factors of 99666 and 99681 and find the biggest common factor number .

Step-1: Prime Factorization of 99666

Prime factors of 99666 are 2, 3, 7, 113. Prime factorization of 99666 in exponential form is:

99666 = 2¹ × 3² × 7² × 113¹

Step-2: Prime Factorization of 99681

Prime factors of 99681 are 3, 149, 223. Prime factorization of 99681 in exponential form is:

99681 = 3¹ × 149¹ × 223¹

Step-3: Factors of 99666

List of positive integer factors of 99666 that divides 99666 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 113, 126, 147, 226, 294, 339, 441, 678, 791, 882, 1017, 1582, 2034, 2373, 4746, 5537, 7119, 11074, 14238, 16611, 33222, 49833

Step-4: Factors of 99681

List of positive integer factors of 99681 that divides 99666 without a remainder.

1, 3, 149, 223, 447, 669, 33227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99666 and 99681. The biggest common factor number is the GCF number.
So the greatest common factor 99666 and 99681 is 3.

Also check out the Least Common Multiple of 99666 and 99681