What is the Greatest Common Factor of 99045 and 99057?

Greatest common factor (GCF) of 99045 and 99057 is 3.

GCF(99045,99057) = 3

We will now calculate the prime factors of 99045 and 99057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99045 and 99057.

How to find the GCF of 99045 and 99057?

We will first find the prime factorization of 99045 and 99057. After we will calculate the factors of 99045 and 99057 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 99057

Prime factors of 99057 are 3, 7, 53, 89. Prime factorization of 99057 in exponential form is:

99057 = 3¹ × 7¹ × 53¹ × 89¹

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 99057

List of positive integer factors of 99057 that divides 99045 without a remainder.

1, 3, 7, 21, 53, 89, 159, 267, 371, 623, 1113, 1869, 4717, 14151, 33019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99045 and 99057. The biggest common factor number is the GCF number.
So the greatest common factor 99045 and 99057 is 3.

Also check out the Least Common Multiple of 99045 and 99057