What is the Greatest Common Factor of 27211 and 27224?

Greatest common factor (GCF) of 27211 and 27224 is 1.

GCF(27211,27224) = 1

We will now calculate the prime factors of 27211 and 27224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27211 and 27224.

How to find the GCF of 27211 and 27224?

We will first find the prime factorization of 27211 and 27224. After we will calculate the factors of 27211 and 27224 and find the biggest common factor number .

Step-1: Prime Factorization of 27211

Prime factors of 27211 are 27211. Prime factorization of 27211 in exponential form is:

27211 = 27211¹

Step-2: Prime Factorization of 27224

Prime factors of 27224 are 2, 41, 83. Prime factorization of 27224 in exponential form is:

27224 = 2³ × 41¹ × 83¹

Step-3: Factors of 27211

List of positive integer factors of 27211 that divides 27211 without a remainder.

Step-4: Factors of 27224

List of positive integer factors of 27224 that divides 27211 without a remainder.

1, 2, 4, 8, 41, 82, 83, 164, 166, 328, 332, 664, 3403, 6806, 13612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27211 and 27224. The biggest common factor number is the GCF number.
So the greatest common factor 27211 and 27224 is 1.

Also check out the Least Common Multiple of 27211 and 27224