What is the Greatest Common Factor of 9006 and 9022?

Greatest common factor (GCF) of 9006 and 9022 is 2.

GCF(9006,9022) = 2

We will now calculate the prime factors of 9006 and 9022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9006 and 9022.

How to find the GCF of 9006 and 9022?

We will first find the prime factorization of 9006 and 9022. After we will calculate the factors of 9006 and 9022 and find the biggest common factor number .

Step-1: Prime Factorization of 9006

Prime factors of 9006 are 2, 3, 19, 79. Prime factorization of 9006 in exponential form is:

9006 = 2¹ × 3¹ × 19¹ × 79¹

Step-2: Prime Factorization of 9022

Prime factors of 9022 are 2, 13, 347. Prime factorization of 9022 in exponential form is:

9022 = 2¹ × 13¹ × 347¹

Step-3: Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503

Step-4: Factors of 9022

List of positive integer factors of 9022 that divides 9006 without a remainder.

1, 2, 13, 26, 347, 694, 4511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9006 and 9022. The biggest common factor number is the GCF number.
So the greatest common factor 9006 and 9022 is 2.

Also check out the Least Common Multiple of 9006 and 9022