What is the Greatest Common Factor of 27144 and 27153?

Greatest common factor (GCF) of 27144 and 27153 is 9.

GCF(27144,27153) = 9

We will now calculate the prime factors of 27144 and 27153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27144 and 27153.

How to find the GCF of 27144 and 27153?

We will first find the prime factorization of 27144 and 27153. After we will calculate the factors of 27144 and 27153 and find the biggest common factor number .

Step-1: Prime Factorization of 27144

Prime factors of 27144 are 2, 3, 13, 29. Prime factorization of 27144 in exponential form is:

27144 = 2³ × 3² × 13¹ × 29¹

Step-2: Prime Factorization of 27153

Prime factors of 27153 are 3, 7, 431. Prime factorization of 27153 in exponential form is:

27153 = 3² × 7¹ × 431¹

Step-3: Factors of 27144

List of positive integer factors of 27144 that divides 27144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 29, 36, 39, 52, 58, 72, 78, 87, 104, 116, 117, 156, 174, 232, 234, 261, 312, 348, 377, 468, 522, 696, 754, 936, 1044, 1131, 1508, 2088, 2262, 3016, 3393, 4524, 6786, 9048, 13572

Step-4: Factors of 27153

List of positive integer factors of 27153 that divides 27144 without a remainder.

1, 3, 7, 9, 21, 63, 431, 1293, 3017, 3879, 9051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27144 and 27153. The biggest common factor number is the GCF number.
So the greatest common factor 27144 and 27153 is 9.

Also check out the Least Common Multiple of 27144 and 27153