What is the Greatest Common Factor of 9008 and 9027?

Greatest common factor (GCF) of 9008 and 9027 is 1.

GCF(9008,9027) = 1

We will now calculate the prime factors of 9008 and 9027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9008 and 9027.

How to find the GCF of 9008 and 9027?

We will first find the prime factorization of 9008 and 9027. After we will calculate the factors of 9008 and 9027 and find the biggest common factor number .

Step-1: Prime Factorization of 9008

Prime factors of 9008 are 2, 563. Prime factorization of 9008 in exponential form is:

9008 = 2⁴ × 563¹

Step-2: Prime Factorization of 9027

Prime factors of 9027 are 3, 17, 59. Prime factorization of 9027 in exponential form is:

9027 = 3² × 17¹ × 59¹

Step-3: Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1, 2, 4, 8, 16, 563, 1126, 2252, 4504

Step-4: Factors of 9027

List of positive integer factors of 9027 that divides 9008 without a remainder.

1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9008 and 9027. The biggest common factor number is the GCF number.
So the greatest common factor 9008 and 9027 is 1.

Also check out the Least Common Multiple of 9008 and 9027