What is the Greatest Common Factor of 99684 and 99690?

Greatest common factor (GCF) of 99684 and 99690 is 6.

GCF(99684,99690) = 6

We will now calculate the prime factors of 99684 and 99690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99684 and 99690.

How to find the GCF of 99684 and 99690?

We will first find the prime factorization of 99684 and 99690. After we will calculate the factors of 99684 and 99690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99690

Prime factors of 99690 are 2, 3, 5, 3323. Prime factorization of 99690 in exponential form is:

99690 = 2¹ × 3¹ × 5¹ × 3323¹

Step-3: Factors of 99684

List of positive integer factors of 99684 that divides 99684 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

Step-4: Factors of 99690

List of positive integer factors of 99690 that divides 99684 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3323, 6646, 9969, 16615, 19938, 33230, 49845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99684 and 99690. The biggest common factor number is the GCF number.
So the greatest common factor 99684 and 99690 is 6.

Also check out the Least Common Multiple of 99684 and 99690