What is the Greatest Common Factor of 99153 and 99168?

Greatest common factor (GCF) of 99153 and 99168 is 3.

GCF(99153,99168) = 3

We will now calculate the prime factors of 99153 and 99168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99153 and 99168.

How to find the GCF of 99153 and 99168?

We will first find the prime factorization of 99153 and 99168. After we will calculate the factors of 99153 and 99168 and find the biggest common factor number .

Step-1: Prime Factorization of 99153

Prime factors of 99153 are 3, 23, 479. Prime factorization of 99153 in exponential form is:

99153 = 3² × 23¹ × 479¹

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 99153

List of positive integer factors of 99153 that divides 99153 without a remainder.

1, 3, 9, 23, 69, 207, 479, 1437, 4311, 11017, 33051

Step-4: Factors of 99168

List of positive integer factors of 99168 that divides 99153 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 99153 and 99168. The biggest common factor number is the GCF number.
So the greatest common factor 99153 and 99168 is 3.

Also check out the Least Common Multiple of 99153 and 99168