What is the Greatest Common Factor of 4414 and 4432?

Greatest common factor (GCF) of 4414 and 4432 is 2.

GCF(4414,4432) = 2

We will now calculate the prime factors of 4414 and 4432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4414 and 4432.

How to find the GCF of 4414 and 4432?

We will first find the prime factorization of 4414 and 4432. After we will calculate the factors of 4414 and 4432 and find the biggest common factor number .

Step-1: Prime Factorization of 4414

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

4414 = 2¹ × 2207¹

Step-2: Prime Factorization of 4432

Prime factors of 4432 are 2, 277. Prime factorization of 4432 in exponential form is:

4432 = 2⁴ × 277¹

Step-3: Factors of 4414

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

1, 2, 2207

Step-4: Factors of 4432

List of positive integer factors of 4432 that divides 4414 without a remainder.

1, 2, 4, 8, 16, 277, 554, 1108, 2216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4414 and 4432. The biggest common factor number is the GCF number.
So the greatest common factor 4414 and 4432 is 2.

Also check out the Least Common Multiple of 4414 and 4432