What is the Greatest Common Factor of 4419 and 4437?

Greatest common factor (GCF) of 4419 and 4437 is 9.

GCF(4419,4437) = 9

We will now calculate the prime factors of 4419 and 4437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4419 and 4437.

How to find the GCF of 4419 and 4437?

We will first find the prime factorization of 4419 and 4437. After we will calculate the factors of 4419 and 4437 and find the biggest common factor number .

Step-1: Prime Factorization of 4419

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

4419 = 3² × 491¹

Step-2: Prime Factorization of 4437

Prime factors of 4437 are 3, 17, 29. Prime factorization of 4437 in exponential form is:

4437 = 3² × 17¹ × 29¹

Step-3: Factors of 4419

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

1, 3, 9, 491, 1473

Step-4: Factors of 4437

List of positive integer factors of 4437 that divides 4419 without a remainder.

1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4419 and 4437. The biggest common factor number is the GCF number.
So the greatest common factor 4419 and 4437 is 9.

Also check out the Least Common Multiple of 4419 and 4437