What is the Greatest Common Factor of 4208 and 4226?

Greatest common factor (GCF) of 4208 and 4226 is 2.

GCF(4208,4226) = 2

We will now calculate the prime factors of 4208 and 4226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4208 and 4226.

How to find the GCF of 4208 and 4226?

We will first find the prime factorization of 4208 and 4226. After we will calculate the factors of 4208 and 4226 and find the biggest common factor number .

Step-1: Prime Factorization of 4208

Prime factors of 4208 are 2, 263. Prime factorization of 4208 in exponential form is:

4208 = 2⁴ × 263¹

Step-2: Prime Factorization of 4226

Prime factors of 4226 are 2, 2113. Prime factorization of 4226 in exponential form is:

4226 = 2¹ × 2113¹

Step-3: Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1, 2, 4, 8, 16, 263, 526, 1052, 2104

Step-4: Factors of 4226

List of positive integer factors of 4226 that divides 4208 without a remainder.

1, 2, 2113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4208 and 4226. The biggest common factor number is the GCF number.
So the greatest common factor 4208 and 4226 is 2.

Also check out the Least Common Multiple of 4208 and 4226