What is the Greatest Common Factor of 99051 and 99063?

Greatest common factor (GCF) of 99051 and 99063 is 3.

GCF(99051,99063) = 3

We will now calculate the prime factors of 99051 and 99063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99051 and 99063.

How to find the GCF of 99051 and 99063?

We will first find the prime factorization of 99051 and 99063. After we will calculate the factors of 99051 and 99063 and find the biggest common factor number .

Step-1: Prime Factorization of 99051

Prime factors of 99051 are 3, 137, 241. Prime factorization of 99051 in exponential form is:

99051 = 3¹ × 137¹ × 241¹

Step-2: Prime Factorization of 99063

Prime factors of 99063 are 3, 1223. Prime factorization of 99063 in exponential form is:

99063 = 3⁴ × 1223¹

Step-3: Factors of 99051

List of positive integer factors of 99051 that divides 99051 without a remainder.

1, 3, 137, 241, 411, 723, 33017

Step-4: Factors of 99063

List of positive integer factors of 99063 that divides 99051 without a remainder.

1, 3, 9, 27, 81, 1223, 3669, 11007, 33021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99051 and 99063. The biggest common factor number is the GCF number.
So the greatest common factor 99051 and 99063 is 3.

Also check out the Least Common Multiple of 99051 and 99063