What is the Greatest Common Factor of 9012 and 9024?

Greatest common factor (GCF) of 9012 and 9024 is 12.

GCF(9012,9024) = 12

We will now calculate the prime factors of 9012 and 9024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9012 and 9024.

How to find the GCF of 9012 and 9024?

We will first find the prime factorization of 9012 and 9024. After we will calculate the factors of 9012 and 9024 and find the biggest common factor number .

Step-1: Prime Factorization of 9012

Prime factors of 9012 are 2, 3, 751. Prime factorization of 9012 in exponential form is:

9012 = 2² × 3¹ × 751¹

Step-2: Prime Factorization of 9024

Prime factors of 9024 are 2, 3, 47. Prime factorization of 9024 in exponential form is:

9024 = 2⁶ × 3¹ × 47¹

Step-3: Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506

Step-4: Factors of 9024

List of positive integer factors of 9024 that divides 9012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9012 and 9024. The biggest common factor number is the GCF number.
So the greatest common factor 9012 and 9024 is 12.

Also check out the Least Common Multiple of 9012 and 9024