What is the Greatest Common Factor of 9036 and 9048?

Greatest common factor (GCF) of 9036 and 9048 is 12.

GCF(9036,9048) = 12

We will now calculate the prime factors of 9036 and 9048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9036 and 9048.

How to find the GCF of 9036 and 9048?

We will first find the prime factorization of 9036 and 9048. After we will calculate the factors of 9036 and 9048 and find the biggest common factor number .

Step-1: Prime Factorization of 9036

Prime factors of 9036 are 2, 3, 251. Prime factorization of 9036 in exponential form is:

9036 = 2² × 3² × 251¹

Step-2: Prime Factorization of 9048

Prime factors of 9048 are 2, 3, 13, 29. Prime factorization of 9048 in exponential form is:

9048 = 2³ × 3¹ × 13¹ × 29¹

Step-3: Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518

Step-4: Factors of 9048

List of positive integer factors of 9048 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9036 and 9048. The biggest common factor number is the GCF number.
So the greatest common factor 9036 and 9048 is 12.

Also check out the Least Common Multiple of 9036 and 9048