What is the Greatest Common Factor of 99183 and 99201?

Greatest common factor (GCF) of 99183 and 99201 is 3.

GCF(99183,99201) = 3

We will now calculate the prime factors of 99183 and 99201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99183 and 99201.

How to find the GCF of 99183 and 99201?

We will first find the prime factorization of 99183 and 99201. After we will calculate the factors of 99183 and 99201 and find the biggest common factor number .

Step-1: Prime Factorization of 99183

Prime factors of 99183 are 3, 7, 4723. Prime factorization of 99183 in exponential form is:

99183 = 3¹ × 7¹ × 4723¹

Step-2: Prime Factorization of 99201

Prime factors of 99201 are 3, 43, 769. Prime factorization of 99201 in exponential form is:

99201 = 3¹ × 43¹ × 769¹

Step-3: Factors of 99183

List of positive integer factors of 99183 that divides 99183 without a remainder.

1, 3, 7, 21, 4723, 14169, 33061

Step-4: Factors of 99201

List of positive integer factors of 99201 that divides 99183 without a remainder.

1, 3, 43, 129, 769, 2307, 33067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99183 and 99201. The biggest common factor number is the GCF number.
So the greatest common factor 99183 and 99201 is 3.

Also check out the Least Common Multiple of 99183 and 99201