What is the Greatest Common Factor of 9045 and 9058?

Greatest common factor (GCF) of 9045 and 9058 is 1.

GCF(9045,9058) = 1

We will now calculate the prime factors of 9045 and 9058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9045 and 9058.

How to find the GCF of 9045 and 9058?

We will first find the prime factorization of 9045 and 9058. After we will calculate the factors of 9045 and 9058 and find the biggest common factor number .

Step-1: Prime Factorization of 9045

Prime factors of 9045 are 3, 5, 67. Prime factorization of 9045 in exponential form is:

9045 = 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 9058

Prime factors of 9058 are 2, 7, 647. Prime factorization of 9058 in exponential form is:

9058 = 2¹ × 7¹ × 647¹

Step-3: Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015

Step-4: Factors of 9058

List of positive integer factors of 9058 that divides 9045 without a remainder.

1, 2, 7, 14, 647, 1294, 4529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9045 and 9058. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9058 is 1.

Also check out the Least Common Multiple of 9045 and 9058