What is the Greatest Common Factor of 4406 and 4416?

Greatest common factor (GCF) of 4406 and 4416 is 2.

GCF(4406,4416) = 2

We will now calculate the prime factors of 4406 and 4416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4406 and 4416.

How to find the GCF of 4406 and 4416?

We will first find the prime factorization of 4406 and 4416. After we will calculate the factors of 4406 and 4416 and find the biggest common factor number .

Step-1: Prime Factorization of 4406

Prime factors of 4406 are 2, 2203. Prime factorization of 4406 in exponential form is:

4406 = 2¹ × 2203¹

Step-2: Prime Factorization of 4416

Prime factors of 4416 are 2, 3, 23. Prime factorization of 4416 in exponential form is:

4416 = 2⁶ × 3¹ × 23¹

Step-3: Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1, 2, 2203

Step-4: Factors of 4416

List of positive integer factors of 4416 that divides 4406 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4406 and 4416. The biggest common factor number is the GCF number.
So the greatest common factor 4406 and 4416 is 2.

Also check out the Least Common Multiple of 4406 and 4416