What is the Greatest Common Factor of 27234 and 27252?

Greatest common factor (GCF) of 27234 and 27252 is 18.

GCF(27234,27252) = 18

We will now calculate the prime factors of 27234 and 27252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27234 and 27252.

How to find the GCF of 27234 and 27252?

We will first find the prime factorization of 27234 and 27252. After we will calculate the factors of 27234 and 27252 and find the biggest common factor number .

Step-1: Prime Factorization of 27234

Prime factors of 27234 are 2, 3, 17, 89. Prime factorization of 27234 in exponential form is:

27234 = 2¹ × 3² × 17¹ × 89¹

Step-2: Prime Factorization of 27252

Prime factors of 27252 are 2, 3, 757. Prime factorization of 27252 in exponential form is:

27252 = 2² × 3² × 757¹

Step-3: Factors of 27234

List of positive integer factors of 27234 that divides 27234 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 89, 102, 153, 178, 267, 306, 534, 801, 1513, 1602, 3026, 4539, 9078, 13617

Step-4: Factors of 27252

List of positive integer factors of 27252 that divides 27234 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 757, 1514, 2271, 3028, 4542, 6813, 9084, 13626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27234 and 27252. The biggest common factor number is the GCF number.
So the greatest common factor 27234 and 27252 is 18.

Also check out the Least Common Multiple of 27234 and 27252