What is the Greatest Common Factor of 99156 and 99168?

Greatest common factor (GCF) of 99156 and 99168 is 12.

GCF(99156,99168) = 12

We will now calculate the prime factors of 99156 and 99168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99156 and 99168.

How to find the GCF of 99156 and 99168?

We will first find the prime factorization of 99156 and 99168. After we will calculate the factors of 99156 and 99168 and find the biggest common factor number .

Step-1: Prime Factorization of 99156

Prime factors of 99156 are 2, 3, 8263. Prime factorization of 99156 in exponential form is:

99156 = 2² × 3¹ × 8263¹

Step-2: Prime Factorization of 99168

Prime factors of 99168 are 2, 3, 1033. Prime factorization of 99168 in exponential form is:

99168 = 2⁵ × 3¹ × 1033¹

Step-3: Factors of 99156

List of positive integer factors of 99156 that divides 99156 without a remainder.

1, 2, 3, 4, 6, 12, 8263, 16526, 24789, 33052, 49578

Step-4: Factors of 99168

List of positive integer factors of 99168 that divides 99156 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1033, 2066, 3099, 4132, 6198, 8264, 12396, 16528, 24792, 33056, 49584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99156 and 99168. The biggest common factor number is the GCF number.
So the greatest common factor 99156 and 99168 is 12.

Also check out the Least Common Multiple of 99156 and 99168