What is the Greatest Common Factor of 27144 and 27162?

Greatest common factor (GCF) of 27144 and 27162 is 18.

GCF(27144,27162) = 18

We will now calculate the prime factors of 27144 and 27162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27144 and 27162.

How to find the GCF of 27144 and 27162?

We will first find the prime factorization of 27144 and 27162. After we will calculate the factors of 27144 and 27162 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 27162

Prime factors of 27162 are 2, 3, 503. Prime factorization of 27162 in exponential form is:

27162 = 2¹ × 3³ × 503¹

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 27162

List of positive integer factors of 27162 that divides 27144 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 503, 1006, 1509, 3018, 4527, 9054, 13581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27144 and 27162. The biggest common factor number is the GCF number.
So the greatest common factor 27144 and 27162 is 18.

Also check out the Least Common Multiple of 27144 and 27162