What is the Greatest Common Factor of 9050 and 9065?

Greatest common factor (GCF) of 9050 and 9065 is 5.

GCF(9050,9065) = 5

We will now calculate the prime factors of 9050 and 9065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9050 and 9065.

How to find the GCF of 9050 and 9065?

We will first find the prime factorization of 9050 and 9065. After we will calculate the factors of 9050 and 9065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9065

Prime factors of 9065 are 5, 7, 37. Prime factorization of 9065 in exponential form is:

9065 = 5¹ × 7² × 37¹

Step-3: Factors of 9050

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

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

Step-4: Factors of 9065

List of positive integer factors of 9065 that divides 9050 without a remainder.

1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9050 and 9065. The biggest common factor number is the GCF number.
So the greatest common factor 9050 and 9065 is 5.

Also check out the Least Common Multiple of 9050 and 9065