What is the Greatest Common Factor of 27234 and 27254?

Greatest common factor (GCF) of 27234 and 27254 is 2.

GCF(27234,27254) = 2

We will now calculate the prime factors of 27234 and 27254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27234 and 27254.

How to find the GCF of 27234 and 27254?

We will first find the prime factorization of 27234 and 27254. After we will calculate the factors of 27234 and 27254 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 27254

Prime factors of 27254 are 2, 13627. Prime factorization of 27254 in exponential form is:

27254 = 2¹ × 13627¹

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 27254

List of positive integer factors of 27254 that divides 27234 without a remainder.

1, 2, 13627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27234 and 27254. The biggest common factor number is the GCF number.
So the greatest common factor 27234 and 27254 is 2.

Also check out the Least Common Multiple of 27234 and 27254