What is the Greatest Common Factor of 4433 and 4444?

Greatest common factor (GCF) of 4433 and 4444 is 11.

GCF(4433,4444) = 11

We will now calculate the prime factors of 4433 and 4444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4433 and 4444.

How to find the GCF of 4433 and 4444?

We will first find the prime factorization of 4433 and 4444. After we will calculate the factors of 4433 and 4444 and find the biggest common factor number .

Step-1: Prime Factorization of 4433

Prime factors of 4433 are 11, 13, 31. Prime factorization of 4433 in exponential form is:

4433 = 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 4444

Prime factors of 4444 are 2, 11, 101. Prime factorization of 4444 in exponential form is:

4444 = 2² × 11¹ × 101¹

Step-3: Factors of 4433

List of positive integer factors of 4433 that divides 4433 without a remainder.

1, 11, 13, 31, 143, 341, 403

Step-4: Factors of 4444

List of positive integer factors of 4444 that divides 4433 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4433 and 4444. The biggest common factor number is the GCF number.
So the greatest common factor 4433 and 4444 is 11.

Also check out the Least Common Multiple of 4433 and 4444