What is the Greatest Common Factor of 4420 and 4433?

Greatest common factor (GCF) of 4420 and 4433 is 13.

GCF(4420,4433) = 13

We will now calculate the prime factors of 4420 and 4433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4420 and 4433.

How to find the GCF of 4420 and 4433?

We will first find the prime factorization of 4420 and 4433. After we will calculate the factors of 4420 and 4433 and find the biggest common factor number .

Step-1: Prime Factorization of 4420

Prime factors of 4420 are 2, 5, 13, 17. Prime factorization of 4420 in exponential form is:

4420 = 2² × 5¹ × 13¹ × 17¹

Step-2: 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-3: Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210

Step-4: Factors of 4433

List of positive integer factors of 4433 that divides 4420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4420 and 4433. The biggest common factor number is the GCF number.
So the greatest common factor 4420 and 4433 is 13.

Also check out the Least Common Multiple of 4420 and 4433