What is the Greatest Common Factor of 10214 and 10227?

Greatest common factor (GCF) of 10214 and 10227 is 1.

GCF(10214,10227) = 1

We will now calculate the prime factors of 10214 and 10227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10214 and 10227.

How to find the GCF of 10214 and 10227?

We will first find the prime factorization of 10214 and 10227. After we will calculate the factors of 10214 and 10227 and find the biggest common factor number .

Step-1: Prime Factorization of 10214

Prime factors of 10214 are 2, 5107. Prime factorization of 10214 in exponential form is:

10214 = 2¹ × 5107¹

Step-2: Prime Factorization of 10227

Prime factors of 10227 are 3, 7, 487. Prime factorization of 10227 in exponential form is:

10227 = 3¹ × 7¹ × 487¹

Step-3: Factors of 10214

List of positive integer factors of 10214 that divides 10214 without a remainder.

1, 2, 5107

Step-4: Factors of 10227

List of positive integer factors of 10227 that divides 10214 without a remainder.

1, 3, 7, 21, 487, 1461, 3409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10214 and 10227. The biggest common factor number is the GCF number.
So the greatest common factor 10214 and 10227 is 1.

Also check out the Least Common Multiple of 10214 and 10227