What is the Greatest Common Factor of 99684 and 99702?

Greatest common factor (GCF) of 99684 and 99702 is 18.

GCF(99684,99702) = 18

We will now calculate the prime factors of 99684 and 99702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99684 and 99702.

How to find the GCF of 99684 and 99702?

We will first find the prime factorization of 99684 and 99702. After we will calculate the factors of 99684 and 99702 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 99702

Prime factors of 99702 are 2, 3, 29, 191. Prime factorization of 99702 in exponential form is:

99702 = 2¹ × 3² × 29¹ × 191¹

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 99702

List of positive integer factors of 99702 that divides 99684 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 191, 261, 382, 522, 573, 1146, 1719, 3438, 5539, 11078, 16617, 33234, 49851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99684 and 99702. The biggest common factor number is the GCF number.
So the greatest common factor 99684 and 99702 is 18.

Also check out the Least Common Multiple of 99684 and 99702