What is the Greatest Common Factor of 9045 and 9050?

Greatest common factor (GCF) of 9045 and 9050 is 5.

GCF(9045,9050) = 5

We will now calculate the prime factors of 9045 and 9050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9045 and 9050.

How to find the GCF of 9045 and 9050?

We will first find the prime factorization of 9045 and 9050. After we will calculate the factors of 9045 and 9050 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 9050

Prime factors of 9050 are 2, 5, 181. Prime factorization of 9050 in exponential form is:

9050 = 2¹ × 5² × 181¹

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 9050

List of positive integer factors of 9050 that divides 9045 without a remainder.

1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9045 and 9050. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9050 is 5.

Also check out the Least Common Multiple of 9045 and 9050