What is the Greatest Common Factor of 9144 and 9153?

Greatest common factor (GCF) of 9144 and 9153 is 9.

GCF(9144,9153) = 9

We will now calculate the prime factors of 9144 and 9153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9144 and 9153.

How to find the GCF of 9144 and 9153?

We will first find the prime factorization of 9144 and 9153. After we will calculate the factors of 9144 and 9153 and find the biggest common factor number .

Step-1: Prime Factorization of 9144

Prime factors of 9144 are 2, 3, 127. Prime factorization of 9144 in exponential form is:

9144 = 2³ × 3² × 127¹

Step-2: Prime Factorization of 9153

Prime factors of 9153 are 3, 113. Prime factorization of 9153 in exponential form is:

9153 = 3⁴ × 113¹

Step-3: Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572

Step-4: Factors of 9153

List of positive integer factors of 9153 that divides 9144 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9144 and 9153. The biggest common factor number is the GCF number.
So the greatest common factor 9144 and 9153 is 9.

Also check out the Least Common Multiple of 9144 and 9153