What is the Greatest Common Factor of 27214 and 27223?

Greatest common factor (GCF) of 27214 and 27223 is 1.

GCF(27214,27223) = 1

We will now calculate the prime factors of 27214 and 27223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27214 and 27223.

How to find the GCF of 27214 and 27223?

We will first find the prime factorization of 27214 and 27223. After we will calculate the factors of 27214 and 27223 and find the biggest common factor number .

Step-1: Prime Factorization of 27214

Prime factors of 27214 are 2, 11, 1237. Prime factorization of 27214 in exponential form is:

27214 = 2¹ × 11¹ × 1237¹

Step-2: Prime Factorization of 27223

Prime factors of 27223 are 7, 3889. Prime factorization of 27223 in exponential form is:

27223 = 7¹ × 3889¹

Step-3: Factors of 27214

List of positive integer factors of 27214 that divides 27214 without a remainder.

1, 2, 11, 22, 1237, 2474, 13607

Step-4: Factors of 27223

List of positive integer factors of 27223 that divides 27214 without a remainder.

1, 7, 3889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27214 and 27223. The biggest common factor number is the GCF number.
So the greatest common factor 27214 and 27223 is 1.

Also check out the Least Common Multiple of 27214 and 27223