What is the Greatest Common Factor of 27208 and 27218?

Greatest common factor (GCF) of 27208 and 27218 is 2.

GCF(27208,27218) = 2

We will now calculate the prime factors of 27208 and 27218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27208 and 27218.

How to find the GCF of 27208 and 27218?

We will first find the prime factorization of 27208 and 27218. After we will calculate the factors of 27208 and 27218 and find the biggest common factor number .

Step-1: Prime Factorization of 27208

Prime factors of 27208 are 2, 19, 179. Prime factorization of 27208 in exponential form is:

27208 = 2³ × 19¹ × 179¹

Step-2: 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-3: Factors of 27208

List of positive integer factors of 27208 that divides 27208 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 179, 358, 716, 1432, 3401, 6802, 13604

Step-4: Factors of 27218

List of positive integer factors of 27218 that divides 27208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27208 and 27218. The biggest common factor number is the GCF number.
So the greatest common factor 27208 and 27218 is 2.

Also check out the Least Common Multiple of 27208 and 27218