What is the Greatest Common Factor of 4400 and 4419?

Greatest common factor (GCF) of 4400 and 4419 is 1.

GCF(4400,4419) = 1

We will now calculate the prime factors of 4400 and 4419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4400 and 4419.

How to find the GCF of 4400 and 4419?

We will first find the prime factorization of 4400 and 4419. After we will calculate the factors of 4400 and 4419 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 4419

Prime factors of 4419 are 3, 491. Prime factorization of 4419 in exponential form is:

4419 = 3² × 491¹

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 4419

List of positive integer factors of 4419 that divides 4400 without a remainder.

1, 3, 9, 491, 1473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4400 and 4419. The biggest common factor number is the GCF number.
So the greatest common factor 4400 and 4419 is 1.

Also check out the Least Common Multiple of 4400 and 4419