What is the Greatest Common Factor of 99162 and 99177?

Greatest common factor (GCF) of 99162 and 99177 is 3.

GCF(99162,99177) = 3

We will now calculate the prime factors of 99162 and 99177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99162 and 99177.

How to find the GCF of 99162 and 99177?

We will first find the prime factorization of 99162 and 99177. After we will calculate the factors of 99162 and 99177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99177

Prime factors of 99177 are 3, 13, 2543. Prime factorization of 99177 in exponential form is:

99177 = 3¹ × 13¹ × 2543¹

Step-3: Factors of 99162

List of positive integer factors of 99162 that divides 99162 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

Step-4: Factors of 99177

List of positive integer factors of 99177 that divides 99162 without a remainder.

1, 3, 13, 39, 2543, 7629, 33059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99162 and 99177. The biggest common factor number is the GCF number.
So the greatest common factor 99162 and 99177 is 3.

Also check out the Least Common Multiple of 99162 and 99177