What is the Greatest Common Factor of 27218 and 27234?

Greatest common factor (GCF) of 27218 and 27234 is 2.

GCF(27218,27234) = 2

We will now calculate the prime factors of 27218 and 27234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27218 and 27234.

How to find the GCF of 27218 and 27234?

We will first find the prime factorization of 27218 and 27234. After we will calculate the factors of 27218 and 27234 and find the biggest common factor number .

Step-1: Prime Factorization of 27218

Prime factors of 27218 are 2, 31, 439. Prime factorization of 27218 in exponential form is:

27218 = 2¹ × 31¹ × 439¹

Step-2: 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-3: Factors of 27218

List of positive integer factors of 27218 that divides 27218 without a remainder.

1, 2, 31, 62, 439, 878, 13609

Step-4: Factors of 27234

List of positive integer factors of 27234 that divides 27218 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27218 and 27234. The biggest common factor number is the GCF number.
So the greatest common factor 27218 and 27234 is 2.

Also check out the Least Common Multiple of 27218 and 27234