What is the Greatest Common Factor of 9034 and 9054?

Greatest common factor (GCF) of 9034 and 9054 is 2.

GCF(9034,9054) = 2

We will now calculate the prime factors of 9034 and 9054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9034 and 9054.

How to find the GCF of 9034 and 9054?

We will first find the prime factorization of 9034 and 9054. After we will calculate the factors of 9034 and 9054 and find the biggest common factor number .

Step-1: Prime Factorization of 9034

Prime factors of 9034 are 2, 4517. Prime factorization of 9034 in exponential form is:

9034 = 2¹ × 4517¹

Step-2: Prime Factorization of 9054

Prime factors of 9054 are 2, 3, 503. Prime factorization of 9054 in exponential form is:

9054 = 2¹ × 3² × 503¹

Step-3: Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1, 2, 4517

Step-4: Factors of 9054

List of positive integer factors of 9054 that divides 9034 without a remainder.

1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9034 and 9054. The biggest common factor number is the GCF number.
So the greatest common factor 9034 and 9054 is 2.

Also check out the Least Common Multiple of 9034 and 9054