What is the Greatest Common Factor of 99138 and 99147?

Greatest common factor (GCF) of 99138 and 99147 is 3.

GCF(99138,99147) = 3

We will now calculate the prime factors of 99138 and 99147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99138 and 99147.

How to find the GCF of 99138 and 99147?

We will first find the prime factorization of 99138 and 99147. After we will calculate the factors of 99138 and 99147 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 99147

Prime factors of 99147 are 3, 33049. Prime factorization of 99147 in exponential form is:

99147 = 3¹ × 33049¹

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 99147

List of positive integer factors of 99147 that divides 99138 without a remainder.

1, 3, 33049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99138 and 99147. The biggest common factor number is the GCF number.
So the greatest common factor 99138 and 99147 is 3.

Also check out the Least Common Multiple of 99138 and 99147