What is the Greatest Common Factor of 4220 and 4238?

Greatest common factor (GCF) of 4220 and 4238 is 2.

GCF(4220,4238) = 2

We will now calculate the prime factors of 4220 and 4238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4220 and 4238.

How to find the GCF of 4220 and 4238?

We will first find the prime factorization of 4220 and 4238. After we will calculate the factors of 4220 and 4238 and find the biggest common factor number .

Step-1: Prime Factorization of 4220

Prime factors of 4220 are 2, 5, 211. Prime factorization of 4220 in exponential form is:

4220 = 2² × 5¹ × 211¹

Step-2: Prime Factorization of 4238

Prime factors of 4238 are 2, 13, 163. Prime factorization of 4238 in exponential form is:

4238 = 2¹ × 13¹ × 163¹

Step-3: Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110

Step-4: Factors of 4238

List of positive integer factors of 4238 that divides 4220 without a remainder.

1, 2, 13, 26, 163, 326, 2119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4220 and 4238. The biggest common factor number is the GCF number.
So the greatest common factor 4220 and 4238 is 2.

Also check out the Least Common Multiple of 4220 and 4238