What is the Greatest Common Factor of 99138 and 99144?

Greatest common factor (GCF) of 99138 and 99144 is 6.

GCF(99138,99144) = 6

We will now calculate the prime factors of 99138 and 99144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99138 and 99144.

How to find the GCF of 99138 and 99144?

We will first find the prime factorization of 99138 and 99144. After we will calculate the factors of 99138 and 99144 and find the biggest common factor number .

Step-1: Prime Factorization of 99138

Prime factors of 99138 are 2, 3, 13, 31, 41. Prime factorization of 99138 in exponential form is:

99138 = 2¹ × 3¹ × 13¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 99138

List of positive integer factors of 99138 that divides 99138 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 41, 62, 78, 82, 93, 123, 186, 246, 403, 533, 806, 1066, 1209, 1271, 1599, 2418, 2542, 3198, 3813, 7626, 16523, 33046, 49569

Step-4: Factors of 99144

List of positive integer factors of 99144 that divides 99138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99138 and 99144. The biggest common factor number is the GCF number.
So the greatest common factor 99138 and 99144 is 6.

Also check out the Least Common Multiple of 99138 and 99144