What is the Greatest Common Factor of 28214 and 28227?

Greatest common factor (GCF) of 28214 and 28227 is 1.

GCF(28214,28227) = 1

We will now calculate the prime factors of 28214 and 28227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28214 and 28227.

How to find the GCF of 28214 and 28227?

We will first find the prime factorization of 28214 and 28227. After we will calculate the factors of 28214 and 28227 and find the biggest common factor number .

Step-1: Prime Factorization of 28214

Prime factors of 28214 are 2, 14107. Prime factorization of 28214 in exponential form is:

28214 = 2¹ × 14107¹

Step-2: Prime Factorization of 28227

Prime factors of 28227 are 3, 97. Prime factorization of 28227 in exponential form is:

28227 = 3¹ × 97²

Step-3: Factors of 28214

List of positive integer factors of 28214 that divides 28214 without a remainder.

1, 2, 14107

Step-4: Factors of 28227

List of positive integer factors of 28227 that divides 28214 without a remainder.

1, 3, 97, 291, 9409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28214 and 28227. The biggest common factor number is the GCF number.
So the greatest common factor 28214 and 28227 is 1.

Also check out the Least Common Multiple of 28214 and 28227