What is the Greatest Common Factor of 4432 and 4442?

Greatest common factor (GCF) of 4432 and 4442 is 2.

GCF(4432,4442) = 2

We will now calculate the prime factors of 4432 and 4442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4432 and 4442.

How to find the GCF of 4432 and 4442?

We will first find the prime factorization of 4432 and 4442. After we will calculate the factors of 4432 and 4442 and find the biggest common factor number .

Step-1: Prime Factorization of 4432

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

4432 = 2⁴ × 277¹

Step-2: Prime Factorization of 4442

Prime factors of 4442 are 2, 2221. Prime factorization of 4442 in exponential form is:

4442 = 2¹ × 2221¹

Step-3: Factors of 4432

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

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

Step-4: Factors of 4442

List of positive integer factors of 4442 that divides 4432 without a remainder.

1, 2, 2221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4432 and 4442. The biggest common factor number is the GCF number.
So the greatest common factor 4432 and 4442 is 2.

Also check out the Least Common Multiple of 4432 and 4442