What is the Greatest Common Factor of 4400 and 4417?

Greatest common factor (GCF) of 4400 and 4417 is 1.

GCF(4400,4417) = 1

We will now calculate the prime factors of 4400 and 4417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4400 and 4417.

How to find the GCF of 4400 and 4417?

We will first find the prime factorization of 4400 and 4417. After we will calculate the factors of 4400 and 4417 and find the biggest common factor number .

Step-1: Prime Factorization of 4400

Prime factors of 4400 are 2, 5, 11. Prime factorization of 4400 in exponential form is:

4400 = 2⁴ × 5² × 11¹

Step-2: Prime Factorization of 4417

Prime factors of 4417 are 7, 631. Prime factorization of 4417 in exponential form is:

4417 = 7¹ × 631¹

Step-3: Factors of 4400

List of positive integer factors of 4400 that divides 4400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200

Step-4: Factors of 4417

List of positive integer factors of 4417 that divides 4400 without a remainder.

1, 7, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4400 and 4417. The biggest common factor number is the GCF number.
So the greatest common factor 4400 and 4417 is 1.

Also check out the Least Common Multiple of 4400 and 4417