What is the Greatest Common Factor of 210 and 227?

Greatest common factor (GCF) of 210 and 227 is 1.

GCF(210,227) = 1

We will now calculate the prime factors of 210 and 227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 210 and 227.

How to find the GCF of 210 and 227?

We will first find the prime factorization of 210 and 227. After we will calculate the factors of 210 and 227 and find the biggest common factor number .

Step-1: Prime Factorization of 210

Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:

210 = 2¹ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 227

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 227¹

Step-3: Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105

Step-4: Factors of 227

List of positive integer factors of 227 that divides 210 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 210 and 227. The biggest common factor number is the GCF number.
So the greatest common factor 210 and 227 is 1.

Also check out the Least Common Multiple of 210 and 227