What is the Greatest Common Factor of 9032 and 9038?

Greatest common factor (GCF) of 9032 and 9038 is 2.

GCF(9032,9038) = 2

We will now calculate the prime factors of 9032 and 9038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9032 and 9038.

How to find the GCF of 9032 and 9038?

We will first find the prime factorization of 9032 and 9038. After we will calculate the factors of 9032 and 9038 and find the biggest common factor number .

Step-1: Prime Factorization of 9032

Prime factors of 9032 are 2, 1129. Prime factorization of 9032 in exponential form is:

9032 = 2³ × 1129¹

Step-2: Prime Factorization of 9038

Prime factors of 9038 are 2, 4519. Prime factorization of 9038 in exponential form is:

9038 = 2¹ × 4519¹

Step-3: Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1, 2, 4, 8, 1129, 2258, 4516

Step-4: Factors of 9038

List of positive integer factors of 9038 that divides 9032 without a remainder.

1, 2, 4519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9032 and 9038. The biggest common factor number is the GCF number.
So the greatest common factor 9032 and 9038 is 2.

Also check out the Least Common Multiple of 9032 and 9038