What is the Greatest Common Factor of 4218 and 4234?

Greatest common factor (GCF) of 4218 and 4234 is 2.

GCF(4218,4234) = 2

We will now calculate the prime factors of 4218 and 4234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4218 and 4234.

How to find the GCF of 4218 and 4234?

We will first find the prime factorization of 4218 and 4234. After we will calculate the factors of 4218 and 4234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4234

Prime factors of 4234 are 2, 29, 73. Prime factorization of 4234 in exponential form is:

4234 = 2¹ × 29¹ × 73¹

Step-3: Factors of 4218

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

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

Step-4: Factors of 4234

List of positive integer factors of 4234 that divides 4218 without a remainder.

1, 2, 29, 58, 73, 146, 2117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4218 and 4234. The biggest common factor number is the GCF number.
So the greatest common factor 4218 and 4234 is 2.

Also check out the Least Common Multiple of 4218 and 4234