What is the Greatest Common Factor of 4204 and 4218?

Greatest common factor (GCF) of 4204 and 4218 is 2.

GCF(4204,4218) = 2

We will now calculate the prime factors of 4204 and 4218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4204 and 4218.

How to find the GCF of 4204 and 4218?

We will first find the prime factorization of 4204 and 4218. After we will calculate the factors of 4204 and 4218 and find the biggest common factor number .

Step-1: Prime Factorization of 4204

Prime factors of 4204 are 2, 1051. Prime factorization of 4204 in exponential form is:

4204 = 2² × 1051¹

Step-2: Prime Factorization of 4218

Prime factors of 4218 are 2, 3, 19, 37. Prime factorization of 4218 in exponential form is:

4218 = 2¹ × 3¹ × 19¹ × 37¹

Step-3: Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1, 2, 4, 1051, 2102

Step-4: Factors of 4218

List of positive integer factors of 4218 that divides 4204 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4204 and 4218. The biggest common factor number is the GCF number.
So the greatest common factor 4204 and 4218 is 2.

Also check out the Least Common Multiple of 4204 and 4218