What is the Greatest Common Factor of 99666 and 99684?

Greatest common factor (GCF) of 99666 and 99684 is 18.

GCF(99666,99684) = 18

We will now calculate the prime factors of 99666 and 99684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99666 and 99684.

How to find the GCF of 99666 and 99684?

We will first find the prime factorization of 99666 and 99684. After we will calculate the factors of 99666 and 99684 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 99684

Prime factors of 99684 are 2, 3, 13, 71. Prime factorization of 99684 in exponential form is:

99684 = 2² × 3³ × 13¹ × 71¹

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 99684

List of positive integer factors of 99684 that divides 99666 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 71, 78, 108, 117, 142, 156, 213, 234, 284, 351, 426, 468, 639, 702, 852, 923, 1278, 1404, 1846, 1917, 2556, 2769, 3692, 3834, 5538, 7668, 8307, 11076, 16614, 24921, 33228, 49842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99666 and 99684. The biggest common factor number is the GCF number.
So the greatest common factor 99666 and 99684 is 18.

Also check out the Least Common Multiple of 99666 and 99684