What is the Greatest Common Factor of 27126 and 27144?

Greatest common factor (GCF) of 27126 and 27144 is 18.

GCF(27126,27144) = 18

We will now calculate the prime factors of 27126 and 27144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27126 and 27144.

How to find the GCF of 27126 and 27144?

We will first find the prime factorization of 27126 and 27144. After we will calculate the factors of 27126 and 27144 and find the biggest common factor number .

Step-1: Prime Factorization of 27126

Prime factors of 27126 are 2, 3, 11, 137. Prime factorization of 27126 in exponential form is:

27126 = 2¹ × 3² × 11¹ × 137¹

Step-2: 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-3: Factors of 27126

List of positive integer factors of 27126 that divides 27126 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 137, 198, 274, 411, 822, 1233, 1507, 2466, 3014, 4521, 9042, 13563

Step-4: Factors of 27144

List of positive integer factors of 27144 that divides 27126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27126 and 27144. The biggest common factor number is the GCF number.
So the greatest common factor 27126 and 27144 is 18.

Also check out the Least Common Multiple of 27126 and 27144