What is the Greatest Common Factor of 4206 and 4221?

Greatest common factor (GCF) of 4206 and 4221 is 3.

GCF(4206,4221) = 3

We will now calculate the prime factors of 4206 and 4221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4206 and 4221.

How to find the GCF of 4206 and 4221?

We will first find the prime factorization of 4206 and 4221. After we will calculate the factors of 4206 and 4221 and find the biggest common factor number .

Step-1: Prime Factorization of 4206

Prime factors of 4206 are 2, 3, 701. Prime factorization of 4206 in exponential form is:

4206 = 2¹ × 3¹ × 701¹

Step-2: Prime Factorization of 4221

Prime factors of 4221 are 3, 7, 67. Prime factorization of 4221 in exponential form is:

4221 = 3² × 7¹ × 67¹

Step-3: Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1, 2, 3, 6, 701, 1402, 2103

Step-4: Factors of 4221

List of positive integer factors of 4221 that divides 4206 without a remainder.

1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4206 and 4221. The biggest common factor number is the GCF number.
So the greatest common factor 4206 and 4221 is 3.

Also check out the Least Common Multiple of 4206 and 4221