What is the Greatest Common Factor of 99144 and 99162?

Greatest common factor (GCF) of 99144 and 99162 is 18.

GCF(99144,99162) = 18

We will now calculate the prime factors of 99144 and 99162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99144 and 99162.

How to find the GCF of 99144 and 99162?

We will first find the prime factorization of 99144 and 99162. After we will calculate the factors of 99144 and 99162 and find the biggest common factor number .

Step-1: Prime Factorization of 99144

Prime factors of 99144 are 2, 3, 17. Prime factorization of 99144 in exponential form is:

99144 = 2³ × 3⁶ × 17¹

Step-2: Prime Factorization of 99162

Prime factors of 99162 are 2, 3, 7, 787. Prime factorization of 99162 in exponential form is:

99162 = 2¹ × 3² × 7¹ × 787¹

Step-3: Factors of 99144

List of positive integer factors of 99144 that divides 99144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 243, 306, 324, 408, 459, 486, 612, 648, 729, 918, 972, 1224, 1377, 1458, 1836, 1944, 2754, 2916, 3672, 4131, 5508, 5832, 8262, 11016, 12393, 16524, 24786, 33048, 49572

Step-4: Factors of 99162

List of positive integer factors of 99162 that divides 99144 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 787, 1574, 2361, 4722, 5509, 7083, 11018, 14166, 16527, 33054, 49581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99144 and 99162. The biggest common factor number is the GCF number.
So the greatest common factor 99144 and 99162 is 18.

Also check out the Least Common Multiple of 99144 and 99162