What is the Greatest Common Factor of 27144 and 27158?

Greatest common factor (GCF) of 27144 and 27158 is 2.

GCF(27144,27158) = 2

We will now calculate the prime factors of 27144 and 27158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27144 and 27158.

How to find the GCF of 27144 and 27158?

We will first find the prime factorization of 27144 and 27158. After we will calculate the factors of 27144 and 27158 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 27158

Prime factors of 27158 are 2, 37, 367. Prime factorization of 27158 in exponential form is:

27158 = 2¹ × 37¹ × 367¹

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 27158

List of positive integer factors of 27158 that divides 27144 without a remainder.

1, 2, 37, 74, 367, 734, 13579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27144 and 27158. The biggest common factor number is the GCF number.
So the greatest common factor 27144 and 27158 is 2.

Also check out the Least Common Multiple of 27144 and 27158