What is the Greatest Common Factor of 99045 and 99063?

Greatest common factor (GCF) of 99045 and 99063 is 9.

GCF(99045,99063) = 9

We will now calculate the prime factors of 99045 and 99063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99045 and 99063.

How to find the GCF of 99045 and 99063?

We will first find the prime factorization of 99045 and 99063. After we will calculate the factors of 99045 and 99063 and find the biggest common factor number .

Step-1: Prime Factorization of 99045

Prime factors of 99045 are 3, 5, 31, 71. Prime factorization of 99045 in exponential form is:

99045 = 3² × 5¹ × 31¹ × 71¹

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 99045

List of positive integer factors of 99045 that divides 99045 without a remainder.

1, 3, 5, 9, 15, 31, 45, 71, 93, 155, 213, 279, 355, 465, 639, 1065, 1395, 2201, 3195, 6603, 11005, 19809, 33015

Step-4: Factors of 99063

List of positive integer factors of 99063 that divides 99045 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 99045 and 99063. The biggest common factor number is the GCF number.
So the greatest common factor 99045 and 99063 is 9.

Also check out the Least Common Multiple of 99045 and 99063