What is the Greatest Common Factor of 27144 and 27148?

Greatest common factor (GCF) of 27144 and 27148 is 4.

GCF(27144,27148) = 4

We will now calculate the prime factors of 27144 and 27148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27144 and 27148.

How to find the GCF of 27144 and 27148?

We will first find the prime factorization of 27144 and 27148. After we will calculate the factors of 27144 and 27148 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 27148

Prime factors of 27148 are 2, 11, 617. Prime factorization of 27148 in exponential form is:

27148 = 2² × 11¹ × 617¹

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 27148

List of positive integer factors of 27148 that divides 27144 without a remainder.

1, 2, 4, 11, 22, 44, 617, 1234, 2468, 6787, 13574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27144 and 27148. The biggest common factor number is the GCF number.
So the greatest common factor 27144 and 27148 is 4.

Also check out the Least Common Multiple of 27144 and 27148