What is the Greatest Common Factor of 4408 and 4414?

Greatest common factor (GCF) of 4408 and 4414 is 2.

GCF(4408,4414) = 2

We will now calculate the prime factors of 4408 and 4414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4408 and 4414.

How to find the GCF of 4408 and 4414?

We will first find the prime factorization of 4408 and 4414. After we will calculate the factors of 4408 and 4414 and find the biggest common factor number .

Step-1: Prime Factorization of 4408

Prime factors of 4408 are 2, 19, 29. Prime factorization of 4408 in exponential form is:

4408 = 2³ × 19¹ × 29¹

Step-2: Prime Factorization of 4414

Prime factors of 4414 are 2, 2207. Prime factorization of 4414 in exponential form is:

4414 = 2¹ × 2207¹

Step-3: Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204

Step-4: Factors of 4414

List of positive integer factors of 4414 that divides 4408 without a remainder.

1, 2, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4408 and 4414. The biggest common factor number is the GCF number.
So the greatest common factor 4408 and 4414 is 2.

Also check out the Least Common Multiple of 4408 and 4414