What is the Greatest Common Factor of 210 and 229?

Greatest common factor (GCF) of 210 and 229 is 1.

GCF(210,229) = 1

We will now calculate the prime factors of 210 and 229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 210 and 229.

How to find the GCF of 210 and 229?

We will first find the prime factorization of 210 and 229. After we will calculate the factors of 210 and 229 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 229

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 229¹

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 229

List of positive integer factors of 229 that divides 210 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 210 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 210 and 229 is 1.

Also check out the Least Common Multiple of 210 and 229