What is the Greatest Common Factor of 9006 and 9021?

Greatest common factor (GCF) of 9006 and 9021 is 3.

GCF(9006,9021) = 3

We will now calculate the prime factors of 9006 and 9021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9006 and 9021.

How to find the GCF of 9006 and 9021?

We will first find the prime factorization of 9006 and 9021. After we will calculate the factors of 9006 and 9021 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 9021

Prime factors of 9021 are 3, 31, 97. Prime factorization of 9021 in exponential form is:

9021 = 3¹ × 31¹ × 97¹

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 9021

List of positive integer factors of 9021 that divides 9006 without a remainder.

1, 3, 31, 93, 97, 291, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9006 and 9021. The biggest common factor number is the GCF number.
So the greatest common factor 9006 and 9021 is 3.

Also check out the Least Common Multiple of 9006 and 9021