What is the Greatest Common Factor of 9060 and 9069?

Greatest common factor (GCF) of 9060 and 9069 is 3.

GCF(9060,9069) = 3

We will now calculate the prime factors of 9060 and 9069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9060 and 9069.

How to find the GCF of 9060 and 9069?

We will first find the prime factorization of 9060 and 9069. After we will calculate the factors of 9060 and 9069 and find the biggest common factor number .

Step-1: Prime Factorization of 9060

Prime factors of 9060 are 2, 3, 5, 151. Prime factorization of 9060 in exponential form is:

9060 = 2² × 3¹ × 5¹ × 151¹

Step-2: Prime Factorization of 9069

Prime factors of 9069 are 3, 3023. Prime factorization of 9069 in exponential form is:

9069 = 3¹ × 3023¹

Step-3: Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530

Step-4: Factors of 9069

List of positive integer factors of 9069 that divides 9060 without a remainder.

1, 3, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9060 and 9069. The biggest common factor number is the GCF number.
So the greatest common factor 9060 and 9069 is 3.

Also check out the Least Common Multiple of 9060 and 9069